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34324165201152 = 283291541135291
BaseRepresentation
bin1111100110111101101111…
…01011001000110100000000
311111112100200002101220020110
413303132313223020310000
513444331342242414102
6201000145342311320
710141560545216331
oct763366753106400
9144470602356213
1034324165201152
11aa33884477242
123a24305588540
13161c9a7654878
14869426d8c288
153e7cb4bb786c
hex1f37b7ac8d00

34324165201152 has 72 divisors (see below), whose sum is σ = 94502416105440. Its totient is φ = 11046857758720.

The previous prime is 34324165201147. The next prime is 34324165201177. The reversal of 34324165201152 is 25110256142343.

It is a self number, because there is not a number n which added to its sum of digits gives 34324165201152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770545374 + ... + 770589917.

It is an arithmetic number, because the mean of its divisors is an integer number (1312533557020).

Almost surely, 234324165201152 is an apocalyptic number.

34324165201152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34324165201152 is an abundant number, since it is smaller than the sum of its proper divisors (60178250904288).

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

34324165201152 is a wasteful number, since it uses less digits than its factorization.

34324165201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541135339 (or 1541135325 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 34324165201152 in words is "thirty-four trillion, three hundred twenty-four billion, one hundred sixty-five million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 1541135291 3082270582 4623405873 6164541164 9246811746 12329082328 18493623492 24658164656 36987246984 44692923439 49316329312 73974493968 89385846878 98632658624 134078770317 147948987936 178771693756 197265317248 268157540634 295897975872 357543387512 394530634496 536315081268 591795951744 715086775024 1072630162536 1183591903488 1430173550048 2145260325072 2860347100096 4290520650144 5720694200192 8581041300288 11441388400384 17162082600576 34324165201152