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1020097392552 = 233278311243533
BaseRepresentation
bin11101101100000101000…
…10101110111110101000
310121112001100012202012100
432312002202232332220
5113203124413030202
62100343135213400
7133461651525150
oct16660242567650
93545040182170
101020097392552
11363691425427
12145850677260
137526bbb31b4
1437531641760
151b805d1e41c
hexed828aefa8

1020097392552 has 96 divisors (see below), whose sum is σ = 3157837188480. Its totient is φ = 291420132480.

The previous prime is 1020097392547. The next prime is 1020097392577. The reversal of 1020097392552 is 2552937900201.

1020097392552 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 9 + 7 + 3 + 92 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1020097392498 and 1020097392507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4066978 + ... + 4310510.

It is an arithmetic number, because the mean of its divisors is an integer number (32894137380).

Almost surely, 21020097392552 is an apocalyptic number.

1020097392552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020097392552 is an abundant number, since it is smaller than the sum of its proper divisors (2137739795928).

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

1020097392552 is a wasteful number, since it uses less digits than its factorization.

1020097392552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251863 (or 251856 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1020097392552 in words is "one trillion, twenty billion, ninety-seven million, three hundred ninety-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 8311 16622 24933 33244 49866 58177 66488 74799 99732 116354 149598 174531 199464 232708 243533 299196 349062 465416 487066 523593 598392 698124 730599 974132 1047186 1396248 1461198 1704731 1948264 2094372 2191797 2922396 3409462 4188744 4383594 5114193 5844792 6818924 8767188 10228386 13637848 15342579 17534376 20456772 30685158 40913544 61370316 122740632 2024002763 4048005526 6072008289 8096011052 12144016578 14168019341 16192022104 18216024867 24288033156 28336038682 36432049734 42504058023 48576066312 56672077364 72864099468 85008116046 113344154728 127512174069 145728198936 170016232092 255024348138 340032464184 510048696276 1020097392552