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62938297932416 = 2723414911061969
BaseRepresentation
bin11100100111101111101101…
…11001000001101010000000
322020211211202012022222212222
432103313312321001222000
531222140113232314131
6341505242132310212
716154066460321614
oct1623676671015200
9266754665288788
1062938297932416
1119065a894261a5
127085a44772368
13291709612c81a
141178330ab7344
1574228243287b
hex393df6e41a80

62938297932416 has 128 divisors (see below), whose sum is σ = 134300634249600. Its totient is φ = 29306918502400.

The previous prime is 62938297932403. The next prime is 62938297932443. The reversal of 62938297932416 is 61423979283926.

62938297932416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×629382979324162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 62938297932416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58734680 + ... + 59796648.

It is an arithmetic number, because the mean of its divisors is an integer number (1049223705075).

Almost surely, 262938297932416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62938297932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67150317124800).

62938297932416 is an abundant number, since it is smaller than the sum of its proper divisors (71362336317184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

62938297932416 is a wasteful number, since it uses less digits than its factorization.

62938297932416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062538 (or 1062526 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 71.

The spelling of 62938297932416 in words is "sixty-two trillion, nine hundred thirty-eight billion, two hundred ninety-seven million, nine hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 328 368 491 656 736 943 982 1312 1472 1886 1964 2624 2944 3772 3928 5248 7544 7856 11293 15088 15712 20131 22586 30176 31424 40262 45172 60352 62848 80524 90344 120704 161048 180688 322096 361376 463013 644192 722752 926026 1061969 1288384 1445504 1852052 2123938 2576768 3704104 4247876 7408208 8495752 14816416 16991504 24425287 29632832 33983008 43540729 48850574 59265664 67966016 87081458 97701148 135932032 174162916 195402296 348325832 390804592 521426779 696651664 781609184 1001436767 1042853558 1393303328 1563218368 2002873534 2085707116 2786606656 3126436736 4005747068 4171414232 5573213312 8011494136 8342828464 11992815917 16022988272 16685656928 21378497939 23985631834 32045976544 33371313856 42756995878 47971263668 64091953088 66742627712 85513991756 95942527336 128183906176 171027983512 191885054672 342055967024 383770109344 491705452597 684111934048 767540218688 983410905194 1368223868096 1535080437376 1966821810388 2736447736192 3933643620776 7867287241552 15734574483104 31469148966208 62938297932416