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38497587216 = 24311831276917
BaseRepresentation
bin100011110110101000…
…101001000000010000
310200100222000001121120
4203312220221000100
51112320340242331
625404024522240
72532002043414
oct436650510020
9120328001546
1038497587216
1115365980090
127564920380
133826a2700a
141c12c3ad44
151004b62796
hex8f6a29010

38497587216 has 160 divisors (see below), whose sum is σ = 110680915968. Its totient is φ = 11432977920.

The previous prime is 38497587211. The next prime is 38497587217. The reversal of 38497587216 is 61278579483.

It is a self number, because there is not a number n which added to its sum of digits gives 38497587216.

It is not an unprimeable number, because it can be changed into a prime (38497587211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5562190 + ... + 5569106.

Almost surely, 238497587216 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 38497587216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55340457984).

38497587216 is an abundant number, since it is smaller than the sum of its proper divisors (72183328752).

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

38497587216 is a wasteful number, since it uses less digits than its factorization.

38497587216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149 (or 7143 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The spelling of 38497587216 in words is "thirty-eight billion, four hundred ninety-seven million, five hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 127 132 166 176 249 254 264 332 381 498 508 528 664 762 913 996 1016 1328 1397 1524 1826 1992 2032 2739 2794 3048 3652 3984 4191 5478 5588 6096 6917 7304 8382 10541 10956 11176 13834 14608 16764 20751 21082 21912 22352 27668 31623 33528 41502 42164 43824 55336 63246 67056 76087 83004 84328 110672 115951 126492 152174 166008 168656 228261 231902 252984 304348 332016 347853 456522 463804 505968 574111 608696 695706 878459 913044 927608 1148222 1217392 1391412 1722333 1756918 1826088 1855216 2296444 2635377 2782824 3444666 3513836 3652176 4592888 5270754 5565648 6315221 6889332 7027672 9185776 9663049 10541508 12630442 13778664 14055344 18945663 19326098 21083016 25260884 27557328 28989147 37891326 38652196 42166032 50521768 57978294 72912097 75782652 77304392 101043536 115956588 145824194 151565304 154608784 218736291 231913176 291648388 303130608 437472582 463826352 583296776 802033067 874945164 1166593552 1604066134 1749890328 2406099201 3208132268 3499780656 4812198402 6416264536 9624396804 12832529072 19248793608 38497587216