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1629105490896 = 243139727199317
BaseRepresentation
bin10111101101001110010…
…000010000101111010000
312202202000011101121112120
4113231032100100233100
5203142402001202041
63244222320254240
7225461516123442
oct27551620205720
95682004347476
101629105490896
115789996405a4
12223894171380
13ba815b97ac0
1458bc6008492
152c59b918366
hex17b4e410bd0

1629105490896 has 160 divisors (see below), whose sum is σ = 4595922175488. Its totient is φ = 494259978240.

The previous prime is 1629105490879. The next prime is 1629105490927. The reversal of 1629105490896 is 6980945019261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16353430 + ... + 16452746.

Almost surely, 21629105490896 is an apocalyptic number.

1629105490896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629105490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297961087744).

1629105490896 is an abundant number, since it is smaller than the sum of its proper divisors (2966816684592).

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

1629105490896 is a wasteful number, since it uses less digits than its factorization.

1629105490896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99709 (or 99703 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 1629105490896 in words is "one trillion, six hundred twenty-nine billion, one hundred five million, four hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 271 291 312 388 542 582 624 776 813 1084 1164 1261 1552 1626 2168 2328 2522 3252 3523 3783 4336 4656 5044 6504 7046 7566 10088 10569 13008 14092 15132 20176 21138 26287 28184 30264 42276 52574 56368 60528 78861 84552 99317 105148 157722 169104 198634 210296 297951 315444 341731 397268 420592 595902 630888 683462 794536 1025193 1191804 1261776 1291121 1366924 1589072 2050386 2383608 2582242 2733848 3873363 4100772 4767216 5164484 5467696 7746726 8201544 9633749 10328968 15493452 16403088 19267498 20657936 26914907 28901247 30986904 38534996 53829814 57802494 61973808 77069992 80744721 107659628 115604988 125238737 154139984 161489442 215319256 231209976 250477474 322978884 349893791 375716211 430638512 462419952 500954948 645957768 699787582 751432422 1001909896 1049681373 1291915536 1399575164 1502864844 2003819792 2099362746 2610745979 2799150328 3005729688 4198725492 5221491958 5598300656 6011459376 7832237937 8397450984 10442983916 15664475874 16794901968 20885967832 31328951748 33939697727 41771935664 62657903496 67879395454 101819093181 125315806992 135758790908 203638186362 271517581816 407276372724 543035163632 814552745448 1629105490896