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368286913904 = 247131733194483
BaseRepresentation
bin1010101101111111001…
…11000101010101110000
31022012121112210200021112
411112333213011111300
522013222422221104
6441104430412452
735415331055030
oct5267747052560
91265545720245
10368286913904
1113220a3a8438
125b462661128
1328963397540
1413b7a4278c0
1598a76d386e
hex55bf9c5570

368286913904 has 160 divisors (see below), whose sum is σ = 930370452480. Its totient is φ = 137053679616.

The previous prime is 368286913889. The next prime is 368286913927. The reversal of 368286913904 is 409319682863.

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, 82149647 + ... + 82154129.

It is an arithmetic number, because the mean of its divisors is an integer number (5814815328).

Almost surely, 2368286913904 is an apocalyptic number.

368286913904 is a gapful number since it is divisible by the number (34) 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 368286913904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465185226240).

368286913904 is an abundant number, since it is smaller than the sum of its proper divisors (562083538576).

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

368286913904 is a wasteful number, since it uses less digits than its factorization.

368286913904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7847 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 368286913904 in words is "three hundred sixty-eight billion, two hundred eighty-six million, nine hundred thirteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1904 3094 3319 3536 4483 6188 6638 8966 12376 13276 17932 23233 24752 26552 31381 35864 43147 46466 53104 56423 58279 62762 71728 76211 86294 92932 112846 116558 125524 152422 172588 185864 225692 233116 251048 302029 304844 345176 371728 394961 407953 451384 466232 502096 533477 604058 609688 690352 733499 789922 815906 902768 932464 990743 1066954 1208116 1219376 1466998 1579844 1631812 1981486 2133908 2416232 2933996 3159688 3263624 3962972 4267816 4832464 5134493 5867992 6319376 6527248 6935201 7925944 8535632 10268986 11735984 13870402 14879077 15851888 20537972 27740804 29758154 41075944 55481608 59516308 82151888 104153539 110963216 119032616 193428001 208307078 238065232 252944309 386856002 416614156 505888618 773712004 833228312 1011777236 1353996007 1547424008 1666456624 1770610163 2023554472 2707992014 3094848016 3288276017 3541220326 4047108944 5415984028 6576552034 7082440652 10831968056 13153104068 14164881304 21663936112 23017932119 26306208136 28329762608 46035864238 52612416272 92071728476 184143456952 368286913904