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9931914693264 = 2432331555752223
BaseRepresentation
bin1001000010000111010000…
…1111110100101010010000
31022011111000012201022100010
42100201310033310222100
52300211030130141024
633042354132354520
72043362050651614
oct220416417645220
938144005638303
109931914693264
11318a112a13383
121144a56175a40
135707635ba585
142649c8927344
15123542993b29
hex908743f4a90

9931914693264 has 160 divisors (see below), whose sum is σ = 27642134790144. Its totient is φ = 3063935761920.

The previous prime is 9931914693251. The next prime is 9931914693269. The reversal of 9931914693264 is 4623964191399.

It is a junction number, because it is equal to n+sod(n) for n = 9931914693195 and 9931914693204.

It is not an unprimeable number, because it can be changed into a prime (9931914693269) 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, 190156657 + ... + 190208879.

Almost surely, 29931914693264 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 9931914693264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821067395072).

9931914693264 is an abundant number, since it is smaller than the sum of its proper divisors (17710220096880).

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

9931914693264 is a wasteful number, since it uses less digits than its factorization.

9931914693264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57845 (or 57839 counting only the distinct ones).

The product of its digits is 68024448, while the sum is 66.

The spelling of 9931914693264 in words is "nine trillion, nine hundred thirty-one billion, nine hundred fourteen million, six hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 1104 1426 1488 2139 2852 4278 5557 5704 8556 11114 11408 16671 17112 22228 33342 34224 44456 52223 66684 88912 104446 127811 133368 156669 172267 208892 255622 266736 313338 344534 383433 417784 511244 516801 626676 689068 766866 835568 1022488 1033602 1201129 1253352 1378136 1533732 1618913 2044976 2067204 2402258 2506704 2756272 3067464 3237826 3603387 3962141 4134408 4804516 4856739 6134928 6475652 7206774 7924282 8268816 9609032 9713478 11886423 12951304 14413548 15848564 19218064 19426956 23772846 25902608 28827096 31697128 37234999 38853912 47545692 57654192 63394256 74469998 77707824 95091384 111704997 148939996 190182768 223409994 290203211 297879992 446819988 580406422 595759984 870609633 893639976 1160812844 1741219266 1787279952 2321625688 3482438532 4643251376 6674673853 6964877064 8996299541 13349347706 13929754128 17992599082 20024021559 26698695412 26988898623 35985198164 40048043118 53397390824 53977797246 71970396328 80096086236 106794781648 107955594492 143940792656 160192172472 206914889443 215911188984 320384344944 413829778886 431822377968 620744668329 827659557772 1241489336658 1655319115544 2482978673316 3310638231088 4965957346632 9931914693264