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83760426272 = 2519236789399
BaseRepresentation
bin100111000000010000…
…0101010110100100000
322000012102000112002002
41032000200222310200
52333020132120042
6102251244343132
76023442606335
oct1160040526440
9260172015062
1083760426272
1132582638a96
1214297244aa8
137b8b224713
1440a836898c
1522a36be132
hex138082ad20

83760426272 has 96 divisors (see below), whose sum is σ = 183835008000. Its totient is φ = 37384098048.

The previous prime is 83760426259. The next prime is 83760426287. The reversal of 83760426272 is 27262406738.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892229 + ... + 981627.

It is an arithmetic number, because the mean of its divisors is an integer number (1914948000).

Almost surely, 283760426272 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 83760426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91917504000).

83760426272 is an abundant number, since it is smaller than the sum of its proper divisors (100074581728).

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

83760426272 is a wasteful number, since it uses less digits than its factorization.

83760426272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89518 (or 89510 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 83760426272 in words is "eighty-three billion, seven hundred sixty million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 67 76 92 134 152 184 268 304 368 437 536 608 736 874 1072 1273 1541 1748 2144 2546 3082 3496 5092 6164 6992 10184 12328 13984 20368 24656 29279 40736 49312 58558 89399 117116 178798 234232 357596 468464 715192 936928 1430384 1698581 2056177 2860768 3397162 4112354 5989733 6794324 8224708 11979466 13588648 16449416 23958932 27177296 32898832 39067363 47917864 54354592 65797664 78134726 95835728 113804927 137763859 156269452 191671456 227609854 275527718 312538904 455219708 551055436 625077808 910439416 1102110872 1250155616 1820878832 2204221744 2617513321 3641757664 4408443488 5235026642 10470053284 20940106568 41880213136 83760426272