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73920909456 = 243213921632
BaseRepresentation
bin100010011011000000…
…1111001000010010000
321001210200020021111100
41010312001321002100
52202342223100311
653543033344400
75224554235362
oct1046601710220
9231720207440
1073920909456
1129393476409
12123abb68100
136c80866914
14381365cd32
151dc9961a56
hex1136079090

73920909456 has 135 divisors (see below), whose sum is σ = 209661117939. Its totient is φ = 24312954816.

The previous prime is 73920909443. The next prime is 73920909581. The reversal of 73920909456 is 65490902937.

The square root of 73920909456 is 271884.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 453502431 + ... + 453502593.

Almost surely, 273920909456 is an apocalyptic number.

73920909456 is the 271884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73920909456

73920909456 is an abundant number, since it is smaller than the sum of its proper divisors (135740208483).

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

73920909456 is a wasteful number, since it uses less digits than its factorization.

73920909456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 73920909456 in words is "seventy-three billion, nine hundred twenty million, nine hundred nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 163 278 326 417 489 556 652 834 978 1112 1251 1304 1467 1668 1956 2224 2502 2608 2934 3336 3912 5004 5868 6672 7824 10008 11736 19321 20016 22657 23472 26569 38642 45314 53138 57963 67971 77284 79707 90628 106276 115926 135942 154568 159414 173889 181256 203913 212552 231852 239121 271884 309136 318828 347778 362512 407826 425104 463704 478242 543768 637656 695556 815652 927408 956484 1087536 1275312 1391112 1631304 1912968 2782224 3149323 3262608 3693091 3825936 6298646 7386182 9447969 11079273 12597292 14772364 18895938 22158546 25194584 28343907 29544728 33237819 37791876 44317092 50389168 56687814 59089456 66475638 75583752 88634184 113375628 132951276 151167504 177268368 226751256 265902552 453502512 513339649 531805104 1026679298 1540018947 2053358596 3080037894 4106717192 4620056841 6160075788 8213434384 9240113682 12320151576 18480227364 24640303152 36960454728 73920909456