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2012410696192 = 29131741433781
BaseRepresentation
bin11101010010001101000…
…001100101001000000000
321010101101100202112120121
4131102031001211020000
5230432404114234232
64140253321150024
7265251261452551
oct35221501451000
97111340675517
102012410696192
117065054135a6
1228602832b314
13117a00813ba0
146d588c58328
1537532825d97
hex1d48d065200

2012410696192 has 160 divisors (see below), whose sum is σ = 4696745107824. Its totient is φ = 852846182400.

The previous prime is 2012410696187. The next prime is 2012410696217. The reversal of 2012410696192 is 2916960142102.

It can be written as a sum of positive squares in 8 ways, for example, as 89817692416 + 1922593003776 = 299696^2 + 1386576^2 .

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, 4422342 + ... + 4856122.

Almost surely, 22012410696192 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 2012410696192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348372553912).

2012410696192 is an abundant number, since it is smaller than the sum of its proper divisors (2684334411632).

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

2012410696192 is a wasteful number, since it uses less digits than its factorization.

2012410696192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433870 (or 433854 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 2012410696192 in words is "two trillion, twelve billion, four hundred ten million, six hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 41 52 64 68 82 104 128 136 164 208 221 256 272 328 416 442 512 533 544 656 697 832 884 1066 1088 1312 1394 1664 1768 2132 2176 2624 2788 3328 3536 4264 4352 5248 5576 6656 7072 8528 8704 9061 10496 11152 14144 17056 18122 20992 22304 28288 34112 36244 44608 56576 68224 72488 89216 113152 136448 144976 178432 272896 289952 356864 433781 579904 867562 1159808 1735124 2319616 3470248 4639232 5639153 6940496 7374277 11278306 13880992 14748554 17785021 22556612 27761984 29497108 35570042 45113224 55523968 58994216 71140084 90226448 95865601 111047936 117988432 142280168 180452896 191731202 222095872 231205273 235976864 284560336 302345357 360905792 383462404 462410546 471953728 569120672 604690714 721811584 766924808 924821092 943907456 1138241344 1209381428 1443623168 1533849616 1849642184 1887814912 2276482688 2418762856 2887246336 3067699232 3699284368 3775629824 3930489641 4552965376 4837525712 6135398464 7398568736 7860979282 9105930752 9675051424 12270796928 14797137472 15721958564 19350102848 24541593856 29594274944 31443917128 38700205696 49083187712 59188549888 62887834256 77400411392 118377099776 125775668512 154800822784 251551337024 503102674048 1006205348096 2012410696192