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2934213867504 = 2432191161792317
BaseRepresentation
bin101010101100101100110…
…001100111011111110000
3101101111201102001111002100
4222230230301213133300
5341033232222230004
610123543110220400
7421663361233323
oct52545461473760
911344642044070
102934213867504
11a31436262737
123b4806354700
1318390640829a
14a2033bc67ba
15514d4051739
hex2ab2cc677f0

2934213867504 has 120 divisors (see below), whose sum is σ = 8644757223440. Its totient is φ = 926504054784.

The previous prime is 2934213867493. The next prime is 2934213867509. The reversal of 2934213867504 is 4057683124392.

2934213867504 is a `hidden beast` number, since 2 + 9 + 3 + 42 + 1 + 38 + 67 + 504 = 666.

It is a super-2 number, since 2×29342138675042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934213867509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31737954 + ... + 31830270.

It is a 1-persistent number, because it is pandigital, but 2⋅2934213867504 = 5868427735008 is not.

Almost surely, 22934213867504 is an apocalyptic number.

2934213867504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2934213867504 is an abundant number, since it is smaller than the sum of its proper divisors (5710543355936).

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

2934213867504 is a wasteful number, since it uses less digits than its factorization.

2934213867504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103967 (or 103958 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2934213867504 in words is "two trillion, nine hundred thirty-four billion, two hundred thirteen million, eight hundred sixty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 11617 23234 34851 46468 69702 92317 92936 104553 139404 184634 185872 209106 220723 276951 278808 369268 418212 441446 553902 557616 662169 738536 830853 836424 882892 1107804 1324338 1477072 1661706 1672848 1754023 1765784 1986507 2215608 2648676 3323412 3508046 3531568 3973014 4431216 5262069 5297352 6646824 7016092 7946028 10524138 10594704 13293648 14032184 15786207 15892056 21048276 28064368 31572414 31784112 42096552 63144828 84193104 126289656 252579312 1072446589 2144893178 3217339767 4289786356 6434679534 8579572712 9652019301 12869359068 17159145424 19304038602 20376485191 25738718136 38608077204 40752970382 51477436272 61129455573 77216154408 81505940764 122258911146 154432308816 163011881528 183388366719 244517822292 326023763056 366776733438 489035644584 733553466876 978071289168 1467106933752 2934213867504