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34927196928 = 283137614597
BaseRepresentation
bin100000100001110100…
…101011101100000000
310100011010200102220020
4200201310223230000
51033012330300203
624013443013440
72344346163321
oct404164535400
9110133612806
1034927196928
11138a3546008
12692906a280
1333a8113340
141994998448
15d9649e153
hex821d2bb00

34927196928 has 144 divisors (see below), whose sum is σ = 100261192416. Its totient is φ = 10730373120.

The previous prime is 34927196879. The next prime is 34927196977. The reversal of 34927196928 is 82969172943.

It is an interprime number because it is at equal distance from previous prime (34927196879) and next prime (34927196977).

Its product of digits (11757312) is a multiple of the sum of its prime divisors (5376).

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 15 ways as a sum of consecutive naturals, for example, 7595526 + ... + 7600122.

Almost surely, 234927196928 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 34927196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50130596208).

34927196928 is an abundant number, since it is smaller than the sum of its proper divisors (65333995488).

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

34927196928 is a wasteful number, since it uses less digits than its factorization.

34927196928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5376 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The spelling of 34927196928 in words is "thirty-four billion, nine hundred twenty-seven million, one hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 761 768 832 1248 1522 1664 2283 2496 3044 3328 4566 4597 4992 6088 9132 9194 9893 9984 12176 13791 18264 18388 19786 24352 27582 29679 36528 36776 39572 48704 55164 59358 59761 73056 73552 79144 97408 110328 118716 119522 146112 147104 158288 179283 194816 220656 237432 239044 292224 294208 316576 358566 441312 474864 478088 584448 588416 633152 717132 882624 949728 956176 1176832 1266304 1434264 1765248 1899456 1912352 2532608 2868528 3498317 3530496 3798912 3824704 5737056 6996634 7597824 7649408 10494951 11474112 13993268 15298816 20989902 22948224 27986536 41979804 45478121 45896448 55973072 83959608 90956242 111946144 136434363 167919216 181912484 223892288 272868726 335838432 363824968 447784576 545737452 671676864 727649936 895569152 1091474904 1343353728 1455299872 2182949808 2686707456 2910599744 4365899616 5821199488 8731799232 11642398976 17463598464 34927196928