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1010992427478 = 2321121936916619
BaseRepresentation
bin11101011011000111101…
…10000011000111010110
310120122112210121121011200
432231203312003013112
5113031003030134403
62052235444213330
7133020222562365
oct16554366030726
93518483547150
101010992427478
1135a839961400
12143b2b39a246
137444a7714b7
1436d0a3057dc
151b47180bca3
hexeb63d831d6

1010992427478 has 144 divisors (see below), whose sum is σ = 2535513489600. Its totient is φ = 290114589600.

The previous prime is 1010992427461. The next prime is 1010992427491. The reversal of 1010992427478 is 8747242990101.

It is a super-3 number, since 3×10109924274783 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152737653 + ... + 152744271.

Almost surely, 21010992427478 is an apocalyptic number.

1010992427478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010992427478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267756744800).

1010992427478 is an abundant number, since it is smaller than the sum of its proper divisors (1524521062122).

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

1010992427478 is a wasteful number, since it uses less digits than its factorization.

1010992427478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10359 (or 10345 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1010992427478 in words is "one trillion, ten billion, nine hundred ninety-two million, four hundred twenty-seven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3691 3762 4598 6619 6897 7382 11073 13238 13794 19857 20691 22146 33219 39714 40601 41382 59571 66438 70129 72809 81202 119142 121803 125761 140258 145618 210387 218427 243606 251522 365409 377283 420774 436854 446611 631161 655281 730818 754566 771419 800899 893222 1131849 1262322 1310562 1339833 1383371 1542838 1601798 2263698 2314257 2402697 2679666 2766742 4019499 4150113 4628514 4805394 6942771 7208091 8038998 8300226 8485609 12450339 13885542 14416182 15217081 16971218 24430729 24900678 25456827 30434162 45651243 48861458 50913654 73292187 76370481 91302486 136953729 146584374 152740962 219876561 268738019 273907458 439753122 464183851 537476038 806214057 928367702 1392551553 1612428114 2418642171 2785103106 2956118209 4177654659 4837284342 5106022361 5912236418 8355309318 8868354627 10212044722 15318067083 17736709254 26605063881 30636134166 45954201249 53210127762 56166245971 91908402498 112332491942 168498737913 336997475826 505496213739 1010992427478