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30936402164272 = 241123311311881899
BaseRepresentation
bin1110000100010111100010…
…10000101111101000110000
311001112111021001120101102211
413002023301100233220300
513023330222423224042
6145443553103221504
76342036612431443
oct702136120575060
9131474231511384
1030936402164272
119948066569730
1235778225a7894
1314353a0777917
1478d48919565a
15389ad8007017
hex1c22f142fa30

30936402164272 has 160 divisors (see below), whose sum is σ = 70969971916800. Its totient is φ = 12917347872000.

The previous prime is 30936402164263. The next prime is 30936402164279. The reversal of 30936402164272 is 27246120463903.

It is not an unprimeable number, because it can be changed into a prime (30936402164279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15497979 + ... + 17379877.

It is an arithmetic number, because the mean of its divisors is an integer number (443562324480).

Almost surely, 230936402164272 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 30936402164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35484985958400).

30936402164272 is an abundant number, since it is smaller than the sum of its proper divisors (40033569752528).

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

30936402164272 is a wasteful number, since it uses less digits than its factorization.

30936402164272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882103 (or 1882097 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

The spelling of 30936402164272 in words is "thirty trillion, nine hundred thirty-six billion, four hundred two million, one hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 124 131 176 184 248 253 262 341 368 496 506 524 682 713 1012 1048 1364 1426 1441 2024 2096 2728 2852 2882 3013 4048 4061 5456 5704 5764 6026 7843 8122 11408 11528 12052 15686 16244 23056 24104 31372 32488 33143 44671 48208 62744 64976 66286 89342 93403 125488 132572 178684 186806 265144 357368 373612 530288 714736 747224 1027433 1494448 1881899 2054866 3763798 4109732 7527596 8219464 15055192 16438928 20700889 30110384 41401778 43283677 58338869 82803556 86567354 116677738 165607112 173134708 233355476 246528769 331214224 346269416 466710952 476120447 493057538 641727559 692538832 933421904 952240894 986115076 1283455118 1341793987 1904481788 1972230152 2566910236 2683587974 2711816459 3808963576 3944460304 5133820472 5367175948 5423632918 5670161687 7617927152 7642391839 10267640944 10734351896 10847265836 11340323374 14759733857 15284783678 21468703792 21694531672 22680646748 29519467714 30569567356 43389063344 45361293496 59038935428 61139134712 62371778557 84066310229 90722586992 118077870856 122278269424 124743557114 168132620458 175775012297 236155741712 249487114228 336265240916 351550024594 498974228456 672530481832 703100049188 997948456912 1345060963664 1406200098376 1933525135267 2812400196752 3867050270534 7734100541068 15468201082136 30936402164272