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34948059136 = 2122321272
BaseRepresentation
bin100000100011000100…
…010001000000000000
310100012120221100110121
4200203010101000000
51033033200343021
624015510110024
72345021413144
oct404304210000
9110176840417
1034948059136
11139042a5101
12693404b314
1333ac539043
141997669224
15d98220741
hex823111000

34948059136 has 117 divisors (see below), whose sum is σ = 73638081111. Its totient is φ = 16582680576.

The previous prime is 34948059131. The next prime is 34948059137. The reversal of 34948059136 is 63195084943.

It is a happy number.

The square root of 34948059136 is 186944.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34948059131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 275181505 + ... + 275181631.

Almost surely, 234948059136 is an apocalyptic number.

34948059136 is the 186944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34948059136

34948059136 is an abundant number, since it is smaller than the sum of its proper divisors (38690021975).

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

34948059136 is an frugal number, since it uses more digits than its factorization.

34948059136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 34948059136 in words is "thirty-four billion, nine hundred forty-eight million, fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 128 184 254 256 368 508 512 529 736 1016 1024 1058 1472 2032 2048 2116 2921 2944 4064 4096 4232 5842 5888 8128 8464 11684 11776 16129 16256 16928 23368 23552 32258 32512 33856 46736 47104 64516 65024 67183 67712 93472 94208 129032 130048 134366 135424 186944 258064 260096 268732 270848 370967 373888 516128 520192 537464 541696 741934 747776 1032256 1074928 1083392 1483868 1495552 2064512 2149856 2166784 2967736 2991104 4129024 4299712 5935472 5982208 8258048 8532241 8599424 11870944 11964416 16516096 17064482 17198848 23741888 33032192 34128964 34397696 47483776 66064384 68257928 68795392 94967552 136515856 137590784 189935104 273031712 275181568 379870208 546063424 759740416 1092126848 1519480832 2184253696 4368507392 8737014784 17474029568 34948059136