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31438637670 = 235112337111949
BaseRepresentation
bin11101010001111000…
…111000101001100110
310000011000100021020210
4131101320320221212
51003341242401140
622235343040250
72162036003526
oct352170705146
9100130307223
1031438637670
1112373322890
1261148a0086
132c704512ab
141743537686
15c400a1d80
hex751e38a66

31438637670 has 128 divisors (see below), whose sum is σ = 88213017600. Its totient is φ = 7093025280.

The previous prime is 31438637651. The next prime is 31438637701. The reversal of 31438637670 is 7673683413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224856 + ... + 336804.

It is an arithmetic number, because the mean of its divisors is an integer number (689164200).

Almost surely, 231438637670 is an apocalyptic number.

31438637670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31438637670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44106508800).

31438637670 is an abundant number, since it is smaller than the sum of its proper divisors (56774379930).

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

31438637670 is a wasteful number, since it uses less digits than its factorization.

31438637670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112030.

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 31438637670 in words is "thirty-one billion, four hundred thirty-eight million, six hundred thirty-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 37 46 55 66 69 74 110 111 115 138 165 185 222 230 253 330 345 370 407 506 555 690 759 814 851 1110 1221 1265 1518 1702 2035 2442 2530 2553 3795 4070 4255 5106 6105 7590 8510 9361 12210 12765 18722 25530 28083 46805 56166 93610 111949 140415 223898 280830 335847 559745 671694 1119490 1231439 1679235 2462878 2574827 3358470 3694317 4142113 5149654 6157195 7388634 7724481 8284226 12314390 12426339 12874135 15448962 18471585 20710565 24852678 25748270 28323097 36943170 38622405 41421130 45563243 56646194 62131695 77244810 84969291 91126486 95268599 124263390 136689729 141615485 169938582 190537198 227816215 273379458 283230970 285805797 424846455 455632430 476342995 571611594 683448645 849692910 952685990 1047954589 1366897290 1429028985 2095909178 2858057970 3143863767 5239772945 6287727534 10479545890 15719318835 31438637670