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103737237872 = 243143107131347
BaseRepresentation
bin110000010011100111…
…0001010000101110000
3100220202121220200211012
41200213032022011300
53144423213102442
6115353425010052
710331463654512
oct1404716120560
9326677820735
10103737237872
113aaa3a6a244
1218131483928
139a22b708b8
145041535bb2
152a723a9582
hex182738a170

103737237872 has 160 divisors (see below), whose sum is σ = 216541569024. Its totient is φ = 48060230400.

The previous prime is 103737237833. The next prime is 103737237883. The reversal of 103737237872 is 278732737301.

It is a super-2 number, since 2×1037372378722 (a number of 23 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 103737237872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298954403 + ... + 298954749.

Almost surely, 2103737237872 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 103737237872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108270784512).

103737237872 is an abundant number, since it is smaller than the sum of its proper divisors (112804331152).

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

103737237872 is a wasteful number, since it uses less digits than its factorization.

103737237872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 50.

The spelling of 103737237872 in words is "one hundred three billion, seven hundred thirty-seven million, two hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 31 43 62 86 107 124 131 172 214 248 262 344 347 428 496 524 688 694 856 1048 1333 1388 1712 2096 2666 2776 3317 4061 4601 5332 5552 5633 6634 8122 9202 10664 10757 11266 13268 14017 14921 16244 18404 21328 21514 22532 26536 28034 29842 32488 36808 37129 43028 45064 45457 53072 56068 59684 64976 73616 74258 86056 90128 90914 112136 119368 142631 148516 172112 174623 181828 224272 238736 285262 297032 349246 363656 434527 462551 570524 594064 602731 698492 727312 869054 925102 1141048 1150999 1205462 1396984 1409167 1596547 1738108 1850204 1954651 2282096 2301998 2410924 2793968 2818334 3193094 3476216 3700408 3909302 4603996 4821848 4863899 5636668 6386188 6952432 7400816 7818604 9207992 9643696 9727798 11273336 12772376 15637208 18415984 18684661 19455596 22546672 25544752 31274416 37369322 38911192 49492957 60594181 74738644 77822384 98985914 121188362 149477288 150780869 197971828 209147657 242376724 298954576 301561738 395943656 418295314 484753448 603123476 791887312 836590628 969506896 1206246952 1673181256 2412493904 3346362512 6483577367 12967154734 25934309468 51868618936 103737237872