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1006431239652 = 22310310727128081
BaseRepresentation
bin11101010010100111111…
…10011111110111100100
310120012202220221020202020
432221103332133313210
5112442132344132102
62050203110143140
7132466206246606
oct16512376376744
93505686836666
101006431239652
11358909219493
12143077951ab0
1373ba17c31a7
14369d662d176
151b2a6183bbc
hexea53f9fde4

1006431239652 has 96 divisors (see below), whose sum is σ = 2402216054784. Its totient is φ = 327889036800.

The previous prime is 1006431239633. The next prime is 1006431239663. The reversal of 1006431239652 is 2569321346001.

It is a super-2 number, since 2×10064312396522 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35826252 + ... + 35854332.

It is an arithmetic number, because the mean of its divisors is an integer number (25023083904).

Almost surely, 21006431239652 is an apocalyptic number.

1006431239652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006431239652 is an abundant number, since it is smaller than the sum of its proper divisors (1395784815132).

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

1006431239652 is a wasteful number, since it uses less digits than its factorization.

1006431239652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28569 (or 28567 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 1006431239652 in words is "one trillion, six billion, four hundred thirty-one million, two hundred thirty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 103 107 206 214 271 309 321 412 428 542 618 642 813 1084 1236 1284 1626 3252 11021 22042 27913 28081 28997 33063 44084 55826 56162 57994 66126 83739 84243 86991 111652 112324 115988 132252 167478 168486 173982 334956 336972 347964 2892343 2986691 3004667 5784686 5973382 6009334 7609951 8677029 8960073 9014001 11569372 11946764 12018668 15219902 17354058 17920146 18028002 22829853 30439804 34708116 35840292 36056004 45659706 91319412 309480701 618961402 783824953 814264757 928442103 1237922804 1567649906 1628529514 1856884206 2351474859 2442794271 3135299812 3257059028 3713768412 4702949718 4885588542 9405899436 9771177084 83869269971 167738539942 251607809913 335477079884 503215619826 1006431239652