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10237875194352 = 24313179197465271
BaseRepresentation
bin1001010011111011000011…
…1010100000100111110000
31100020201202010101011102210
42110332300322200213300
52320214132022204402
633435114232012120
72104443043212411
oct224766072404760
940221663334383
1010237875194352
113297949712333
121194203831040
135935732654b0
14275731515808
1512b49d58706c
hex94fb0ea09f0

10237875194352 has 160 divisors (see below), whose sum is σ = 28786862522880. Its totient is φ = 3116609233920.

The previous prime is 10237875194333. The next prime is 10237875194369. The reversal of 10237875194352 is 25349157873201.

It is a junction number, because it is equal to n+sod(n) for n = 10237875194292 and 10237875194301.

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, 21771477 + ... + 22236747.

It is an arithmetic number, because the mean of its divisors is an integer number (179917890768).

Almost surely, 210237875194352 is an apocalyptic number.

10237875194352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10237875194352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14393431261440).

10237875194352 is an abundant number, since it is smaller than the sum of its proper divisors (18548987328528).

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

10237875194352 is a wasteful number, since it uses less digits than its factorization.

10237875194352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465671 (or 465665 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 10237875194352 in words is "ten trillion, two hundred thirty-seven billion, eight hundred seventy-five million, one hundred ninety-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 179 197 208 312 358 394 537 591 624 716 788 1074 1182 1432 1576 2148 2327 2364 2561 2864 3152 4296 4654 4728 5122 6981 7683 8592 9308 9456 10244 13962 15366 18616 20488 27924 30732 35263 37232 40976 55848 61464 70526 105789 111696 122928 141052 211578 282104 423156 458419 465271 564208 846312 916838 930542 1375257 1395813 1692624 1833676 1861084 2750514 2791626 3667352 3722168 5501028 5583252 6048523 7334704 7444336 11002056 11166504 12097046 18145569 22004112 22333008 24194092 36291138 48388184 72582276 83283509 91658387 96776368 145164552 166567018 183316774 249850527 274975161 290329104 333134036 366633548 499701054 549950322 666268072 733267096 999402108 1082685617 1099900644 1191559031 1332536144 1466534192 1998804216 2165371234 2199801288 2383118062 3248056851 3574677093 3997608432 4330742468 4399602576 4766236124 6496113702 7149354186 8661484936 9532472248 12992227404 14298708372 16406851273 17322969872 19064944496 25984454808 28597416744 32813702546 49220553819 51968909616 57194833488 65627405092 98441107638 131254810184 196882215276 213289066549 262509620368 393764430552 426578133098 639867199647 787528861104 853156266196 1279734399294 1706312532392 2559468798588 3412625064784 5118937597176 10237875194352