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1012048892604 = 2232297928614289
BaseRepresentation
bin11101011101000101101…
…00001001001010111100
310120202021102112120212200
432232202310021022330
5113040134004030404
62052532344031500
7133055341435551
oct16564264111274
93522242476780
101012048892604
11360231241282
12144185162590
13745885bb6a9
1436daa750a28
151b4d4443839
hexeba2d092bc

1012048892604 has 144 divisors (see below), whose sum is σ = 2681510832000. Its totient is φ = 321406525440.

The previous prime is 1012048892587. The next prime is 1012048892611. The reversal of 1012048892604 is 4062988402101.

1012048892604 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 488 + 92 + 60 + 4 = 666.

1012048892604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10120488926042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1012048892604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235961692 + ... + 235965980.

It is an arithmetic number, because the mean of its divisors is an integer number (18621603000).

Almost surely, 21012048892604 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 1012048892604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340755416000).

1012048892604 is an abundant number, since it is smaller than the sum of its proper divisors (1669461939396).

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

1012048892604 is a wasteful number, since it uses less digits than its factorization.

1012048892604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1012048892604 in words is "one trillion, twelve billion, forty-eight million, eight hundred ninety-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 316 348 474 522 711 948 1044 1422 2291 2844 2861 4289 4582 5722 6873 8578 8583 9164 11444 12867 13746 17156 17166 20619 25734 25749 27492 34332 38601 41238 51468 51498 77202 82476 82969 102996 124381 154404 165938 226019 248762 248907 331876 338831 373143 452038 497524 497814 677662 678057 746286 746721 904076 995628 1016493 1119429 1355324 1356114 1492572 1493442 2032986 2034171 2238858 2712228 2986884 3049479 4065972 4068342 4477716 6098958 6554551 8136684 9826099 12197916 12270829 13109102 19652198 19663653 24541658 26218204 29478297 36812487 39304396 39327306 49083316 58956594 58990959 73624974 78654612 88434891 110437461 117913188 117981918 147249948 176869782 220874922 235963836 353739564 355854041 441749844 711708082 969395491 1067562123 1423416164 1938790982 2135124246 2908186473 3202686369 3877581964 4270248492 5816372946 6405372738 8724559419 11632745892 12810745476 17449118838 28112469239 34898237676 56224938478 84337407717 112449876956 168674815434 253012223151 337349630868 506024446302 1012048892604