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83464928468952 = 233292811072339799
BaseRepresentation
bin10010111110100100110001…
…011010011001111111011000
3101221112011120101001122020020
4102332210301122121333120
541414442133142001302
6453303131522430440
723403066510136332
oct2276446132317730
9357464511048206
1083464928468952
112465a306215a08
12944008b802420
13377592a832844
141687a1cca4452
1599b1aad00ebc
hex4be931699fd8

83464928468952 has 128 divisors (see below), whose sum is σ = 216651395520000. Its totient is φ = 26763511864320.

The previous prime is 83464928468951. The next prime is 83464928468983. The reversal of 83464928468952 is 25986482946438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83464928468951) 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, 2097141549 + ... + 2097181347.

It is an arithmetic number, because the mean of its divisors is an integer number (1692589027500).

Almost surely, 283464928468952 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 83464928468952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108325697760000).

83464928468952 is an abundant number, since it is smaller than the sum of its proper divisors (133186467051048).

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

83464928468952 is a wasteful number, since it uses less digits than its factorization.

83464928468952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50841 (or 50837 counting only the distinct ones).

The product of its digits is 5733089280, while the sum is 78.

The spelling of 83464928468952 in words is "eighty-three trillion, four hundred sixty-four billion, nine hundred twenty-eight million, four hundred sixty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 281 348 562 696 843 1124 1686 2248 3372 6744 8149 10723 16298 21446 24447 32169 32596 39799 42892 48894 64338 65192 79598 85784 97788 119397 128676 159196 195576 238794 257352 310967 318392 477588 621934 932901 955176 1154171 1243868 1865802 2308342 2487736 3013163 3462513 3731604 4616684 6026326 6925026 7463208 9039489 9233368 11183519 12052652 13850052 18078978 22367038 24105304 27700104 33550557 36157956 44734076 67101114 72315912 87381727 89468152 134202228 174763454 262145181 268404456 324322051 349526908 426764677 524290362 648644102 699053816 853529354 972966153 1048580724 1280294031 1297288204 1707058708 1945932306 2097161448 2560588062 2594576408 3414117416 3891864612 5121176124 7783729224 10242352248 12376175633 24752351266 37128526899 49504702532 74257053798 99009405064 119920874237 148514107596 239841748474 297028215192 359762622711 479683496948 719525245422 959366993896 1439050490844 2878100981688 3477705352873 6955410705746 10433116058619 13910821411492 20866232117238 27821642822984 41732464234476 83464928468952