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461642034504 = 233797216113109
BaseRepresentation
bin1101011011111000000…
…00100110110101001000
31122010120121221011121210
412231330000212311020
530030420330101004
6552024142533120
745231630356220
oct6557400466510
91563517834553
10461642034504
11168865991272
1275576b971a0
13346c032ab81
14184b4b6d080
15c01d3a0089
hex6b7c026d48

461642034504 has 128 divisors (see below), whose sum is σ = 1333293292800. Its totient is φ = 130467594240.

The previous prime is 461642034499. The next prime is 461642034533. The reversal of 461642034504 is 405430246164.

It is a super-2 number, since 2×4616420345042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35209102 + ... + 35222210.

It is an arithmetic number, because the mean of its divisors is an integer number (10416353850).

Almost surely, 2461642034504 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 461642034504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666646646400).

461642034504 is an abundant number, since it is smaller than the sum of its proper divisors (871651258296).

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

461642034504 is a wasteful number, since it uses less digits than its factorization.

461642034504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383 (or 15379 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 461642034504 in words is "four hundred sixty-one billion, six hundred forty-two million, thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2161 2328 2716 4074 4322 5432 6483 8148 8644 12966 13109 15127 16296 17288 25932 26218 30254 39327 45381 51864 52436 60508 78654 90762 91763 104872 121016 157308 181524 183526 209617 275289 314616 363048 367052 419234 550578 628851 734104 838468 1101156 1257702 1271573 1467319 1676936 2202312 2515404 2543146 2934638 3814719 4401957 5030808 5086292 5869276 7629438 8803914 8901011 10172584 11738552 15258876 17607828 17802022 26703033 28328549 30517752 35215656 35604044 53406066 56657098 71208088 84985647 106812132 113314196 169971294 198299843 213624264 226628392 339942588 396599686 594899529 679885176 793199372 1189799058 1586398744 2379598116 2747869253 4759196232 5495738506 8243607759 10991477012 16487215518 19235084771 21982954024 32974431036 38470169542 57705254313 65948862072 76940339084 115410508626 153880678168 230821017252 461642034504