Search a number
-
+
10207093968 = 24321914592557
BaseRepresentation
bin10011000000110001…
…11110010011010000
3222100100110002122100
421200120332103100
5131401004001333
64404501240400
7510640603311
oct114030762320
928310402570
1010207093968
114368702855
121b8a403100
13c68889696
146cb870608
153eb169213
hex26063e4d0

10207093968 has 120 divisors (see below), whose sum is σ = 30101520800. Its totient is φ = 3219823872.

The previous prime is 10207093957. The next prime is 10207093979. The reversal of 10207093968 is 86939070201.

It is an interprime number because it is at equal distance from previous prime (10207093957) and next prime (10207093979).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3990546 + ... + 3993102.

Almost surely, 210207093968 is an apocalyptic number.

10207093968 is a gapful number since it is divisible by the number (18) 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 10207093968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050760400).

10207093968 is an abundant number, since it is smaller than the sum of its proper divisors (19894426832).

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

10207093968 is a wasteful number, since it uses less digits than its factorization.

10207093968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10207093968 in words is "ten billion, two hundred seven million, ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1459 2557 2736 2918 4377 5114 5836 7671 8754 10228 11672 13131 15342 17508 20456 23013 23344 26262 27721 30684 35016 40912 46026 48583 52524 55442 61368 70032 83163 92052 97166 105048 110884 122736 145749 166326 184104 194332 210096 221768 249489 291498 332652 368208 388664 437247 443536 498978 582996 665304 777328 874494 997956 1165992 1330608 1748988 1995912 2331984 3497976 3730663 3991824 6995952 7461326 11191989 14922652 22383978 29845304 33575967 44767956 59690608 67151934 70882597 89535912 134303868 141765194 179071824 212647791 268607736 283530388 425295582 537215472 567060776 637943373 850591164 1134121552 1275886746 1701182328 2551773492 3402364656 5103546984 10207093968