Search a number
-
+
83878232152036 = 2272532123432
BaseRepresentation
bin10011000100100101101100…
…001110110101011111100100
3101222222200101012212010120011
4103010211230032311133210
541443230104412331121
6454221043343020004
723445000533364400
oct2304455416653744
9358880335763504
1083878232152036
11247a9616392313
1294a81b629a604
1337a58b642cbba
14169da29c84100
159a6cea6367e1
hex4c496c3b57e4

83878232152036 has 81 divisors (see below), whose sum is σ = 174048741997641. Its totient is φ = 35266695688224.

The previous prime is 83878232152021. The next prime is 83878232152049. The reversal of 83878232152036 is 63025123287838.

The square root of 83878232152036 is 9158506.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60467575688100 + 23410656463936 = 7776090^2 + 4838456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6795605281 + ... + 6795617623.

Almost surely, 283878232152036 is an apocalyptic number.

83878232152036 is the 9158506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83878232152036

83878232152036 is an abundant number, since it is smaller than the sum of its proper divisors (90170509845605).

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

83878232152036 is an frugal number, since it uses more digits than its factorization.

83878232152036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24810 (or 12405 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 83878232152036 in words is "eighty-three trillion, eight hundred seventy-eight billion, two hundred thirty-two million, one hundred fifty-two thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 2809 5194 5618 10388 11236 12343 19663 24686 39326 49372 78652 86401 137641 172802 275282 345604 550564 604807 654179 1209614 1308358 2419228 2616716 4579253 9158506 18317012 32054771 34671487 64109542 69342974 128219084 138685948 152349649 242700409 304699298 485400818 609398596 970801636 1066447543 1698902863 2132895086 3397805726 4265790172 6795611452 7465132801 8074531397 14930265602 16149062794 29860531204 32298125588 56521719779 113043439558 226086879116 395652038453 427950164041 791304076906 855900328082 1582608153812 1711800656164 2995651148287 5991302296574 11982604593148 20969558038009 41939116076018 83878232152036