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31755640368 = 24323197146011
BaseRepresentation
bin11101100100110010…
…001001111000110000
310000222002211200012110
4131210302021320300
51010013420442433
622331025325320
72202635326614
oct354462117060
9100862750173
1031755640368
111251625a691
1261a2a96840
132cc102315a
141773695344
15c5cd1d963
hex764c89e30

31755640368 has 80 divisors (see below), whose sum is σ = 86037278976. Its totient is φ = 10073521920.

The previous prime is 31755640363. The next prime is 31755640369. The reversal of 31755640368 is 86304655713.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (31755640363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144483 + ... + 290493.

Almost surely, 231755640368 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 31755640368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43018639488).

31755640368 is an abundant number, since it is smaller than the sum of its proper divisors (54281638608).

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

31755640368 is a wasteful number, since it uses less digits than its factorization.

31755640368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146242 (or 146236 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 31755640368 in words is "thirty-one billion, seven hundred fifty-five million, six hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 197 276 368 394 552 591 788 1104 1182 1576 2364 3152 4531 4728 9062 9456 13593 18124 27186 36248 54372 72496 108744 146011 217488 292022 438033 584044 876066 1168088 1752132 2336176 3358253 3504264 6716506 7008528 10074759 13433012 20149518 26866024 28764167 40299036 53732048 57528334 80598072 86292501 115056668 161196144 172585002 230113336 345170004 460226672 661575841 690340008 1323151682 1380680016 1984727523 2646303364 3969455046 5292606728 7938910092 10585213456 15877820184 31755640368