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10048720976 = 247237353437
BaseRepresentation
bin10010101101111001…
…10101000001010000
3221221022102220201222
421112330311001100
5131034433032401
64341042544212
7504005501420
oct112674650120
927838386658
1010048720976
114297271888
121b45368068
13c41b18658
146b4806480
153dc2d3c1b
hex256f35050

10048720976 has 80 divisors (see below), whose sum is σ = 23536660224. Its totient is φ = 4062845952.

The previous prime is 10048720943. The next prime is 10048720993. The reversal of 10048720976 is 67902784001.

It is a super-3 number, since 3×100487209763 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161330 + ... + 214766.

Almost surely, 210048720976 is an apocalyptic number.

10048720976 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 10048720976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768330112).

10048720976 is an abundant number, since it is smaller than the sum of its proper divisors (13487939248).

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

10048720976 is a wasteful number, since it uses less digits than its factorization.

10048720976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53548 (or 53542 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 10048720976 in words is "ten billion, forty-eight million, seven hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 73 92 112 146 161 184 292 322 368 511 584 644 1022 1168 1288 1679 2044 2576 3358 4088 6716 8176 11753 13432 23506 26864 47012 53437 94024 106874 188048 213748 374059 427496 748118 854992 1229051 1496236 2458102 2992472 3900901 4916204 5984944 7801802 8603357 9832408 15603604 17206714 19664816 27306307 31207208 34413428 54612614 62414416 68826856 89720723 109225228 137653712 179441446 218450456 358882892 436900912 628045061 717765784 1256090122 1435531568 2512180244 5024360488 10048720976