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309850671832 = 231321373075449
BaseRepresentation
bin1001000001001001000…
…10100000101011011000
31002121210000201000010121
410200210202200223120
520034033232444312
6354202103123024
731246250153242
oct4404442405330
91077700630117
10309850671832
1110a4526988a9
1250074443474
13232ac8c3c00
1410dd5513092
1580d73c1707
hex48248a0ad8

309850671832 has 96 divisors (see below), whose sum is σ = 635870466000. Its totient is φ = 141475756032.

The previous prime is 309850671829. The next prime is 309850671857. The reversal of 309850671832 is 238176058903.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 309850671832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56861044 + ... + 56866492.

Almost surely, 2309850671832 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 309850671832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317935233000).

309850671832 is an abundant number, since it is smaller than the sum of its proper divisors (326019794168).

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

309850671832 is a wasteful number, since it uses less digits than its factorization.

309850671832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 309850671832 in words is "three hundred nine billion, eight hundred fifty million, six hundred seventy-one thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 137 169 274 307 338 548 614 676 1096 1228 1352 1781 2456 3562 3991 5449 7124 7982 10898 14248 15964 21796 23153 31928 42059 43592 46306 51883 70837 84118 92612 103766 141674 168236 185224 207532 283348 336472 415064 546767 566696 746513 920881 1093534 1493026 1672843 1841762 2187068 2986052 3345686 3683524 4374136 5972104 6691372 7107971 7367048 9704669 13382744 14215942 19409338 21746959 28431884 38818676 43493918 56863768 77637352 86987836 126160697 173975672 229179491 252321394 282710467 458358982 504642788 565420934 916717964 1009285576 1130841868 1833435928 2261683736 2979333383 5958666766 11917333532 23834667064 38731333979 77462667958 154925335916 309850671832