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1027700686272 = 263131747123567
BaseRepresentation
bin11101111010001111011…
…10111111110111000000
310122020200020011002101110
432331013232333313000
5113314212333430042
62104041424203320
7134151244462221
oct16750756776700
93566606132343
101027700686272
11366933277547
12147212a69540
1375bb1198c70
1437a53361248
151baed5a709c
hexef47bbfdc0

1027700686272 has 112 divisors (see below), whose sum is σ = 2928580042752. Its totient is φ = 316184079360.

The previous prime is 1027700686261. The next prime is 1027700686283. The reversal of 1027700686272 is 2726860077201.

It is an interprime number because it is at equal distance from previous prime (1027700686261) and next prime (1027700686283).

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

It is a congruent number.

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, 43595833 + ... + 43619399.

It is an arithmetic number, because the mean of its divisors is an integer number (26148036096).

Almost surely, 21027700686272 is an apocalyptic number.

1027700686272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1027700686272 is an abundant number, since it is smaller than the sum of its proper divisors (1900879356480).

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

1027700686272 is a wasteful number, since it uses less digits than its factorization.

1027700686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41066 (or 41056 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 1027700686272 in words is "one trillion, twenty-seven billion, seven hundred million, six hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 17471 23567 34942 47134 52413 69884 70701 94268 104826 139768 141402 188536 209652 227123 279536 282804 306371 377072 419304 454246 559072 565608 612742 681369 754144 838608 908492 919113 1118144 1131216 1225484 1362738 1508288 1677216 1816984 1838226 2262432 2450968 2725476 3354432 3633968 3676452 4524864 4901936 5450952 7267936 7352904 9803872 10901904 14535872 14705808 19607744 21803808 29411616 43607616 58823232 411739057 823478114 1235217171 1646956228 2470434342 3293912456 4940868684 5352607741 6587824912 9881737368 10705215482 13175649824 16057823223 19763474736 21410430964 26351299648 32115646446 39526949472 42820861928 64231292892 79053898944 85641723856 128462585784 171283447712 256925171568 342566895424 513850343136 1027700686272