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88632434944 = 282328092
BaseRepresentation
bin101001010001011100…
…1111010000100000000
322110202221120012112201
41102202321322010000
52423004400404234
6104414524402544
76255252160264
oct1224271720400
9273687505481
1088632434944
1134652776239
12152169a6454
1384866bbba1
14440b4300a4
15248b292314
hex14a2e7a100

88632434944 has 81 divisors (see below), whose sum is σ = 185174096653. Its totient is φ = 42337028096.

The previous prime is 88632434939. The next prime is 88632434953. The reversal of 88632434944 is 44943423688.

It is a happy number.

The square root of 88632434944 is 297712.

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., 78015193344 + 10617241600 = 279312^2 + 103040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109557612 + ... + 109558420.

Almost surely, 288632434944 is an apocalyptic number.

88632434944 is the 297712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88632434944

88632434944 is an abundant number, since it is smaller than the sum of its proper divisors (96541661709).

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

88632434944 is an frugal number, since it uses more digits than its factorization.

88632434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 834 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 55.

The spelling of 88632434944 in words is "eighty-eight billion, six hundred thirty-two million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 809 1058 1472 1618 2116 2944 3236 4232 5888 6472 8464 12944 16928 18607 25888 33856 37214 51776 67712 74428 103552 135424 148856 207104 297712 427961 595424 654481 855922 1190848 1308962 1711844 2381696 2617924 3423688 4763392 5235848 6847376 10471696 13694752 15053063 20943392 27389504 30106126 41886784 54779008 60212252 83773568 109558016 120424504 167547136 240849008 346220449 481698016 692440898 963396032 1384881796 1926792064 2769763592 3853584128 5539527184 11079054368 22158108736 44316217472 88632434944