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46485920638464 = 293372413393997
BaseRepresentation
bin10101001000111010110001…
…10010010110011000000000
320002121000021201212121022120
422210131120302112120000
522043111131140412324
6242511200453004240
712535332306612156
oct1244353062263000
9202530251777276
1046485920638464
11138a262835123a
125269348923680
131cc27acb9a868
14b69d056773d6
1555931372a179
hex2a4758c96600

46485920638464 has 160 divisors (see below), whose sum is σ = 127716253347936. Its totient is φ = 15013952225280.

The previous prime is 46485920638439. The next prime is 46485920638483. The reversal of 46485920638464 is 46483602958464.

It is a super-2 number, since 2×464859206384642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11999514 + ... + 15393510.

Almost surely, 246485920638464 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 46485920638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63858126673968).

46485920638464 is an abundant number, since it is smaller than the sum of its proper divisors (81230332709472).

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

46485920638464 is a wasteful number, since it uses less digits than its factorization.

46485920638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394296 (or 3394280 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 69.

The spelling of 46485920638464 in words is "forty-six trillion, four hundred eighty-five billion, nine hundred twenty million, six hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 241 256 296 384 444 482 512 592 723 768 888 964 1184 1446 1536 1776 1928 2368 2892 3552 3856 4736 5784 7104 7712 8917 9472 11568 14208 15424 17834 18944 23136 26751 28416 30848 35668 46272 53502 56832 61696 71336 92544 107004 123392 142672 185088 214008 285344 370176 428016 570688 856032 1141376 1712064 2282752 3393997 3424128 4565504 6787994 6848256 10181991 13575988 13696512 20363982 27151976 40727964 54303952 81455928 108607904 125577889 162911856 217215808 251155778 325823712 376733667 434431616 502311556 651647424 753467334 817953277 868863232 1004623112 1303294848 1506934668 1635906554 1737726464 2009246224 2453859831 2606589696 3013869336 3271813108 4018492448 4907719662 5213179392 6027738672 6543626216 8036984896 9815439324 12055477344 13087252432 16073969792 19630878648 24110954688 26174504864 30264271249 32147939584 39261757296 48221909376 52349009728 60528542498 64295879168 78523514592 90792813747 96443818752 104698019456 121057084996 157047029184 181585627494 192887637504 209396038912 242114169992 314094058368 363171254988 418792077824 484228339984 628188116736 726342509976 968456679968 1256376233472 1452685019952 1936913359936 2905370039904 3873826719872 5810740079808 7747653439744 11621480159616 15495306879488 23242960319232 46485920638464