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10062193152 = 293114712671
BaseRepresentation
bin10010101111100000…
…01110001000000000
3221222020210101002110
421113300032020000
5131101410140102
64342243415320
7504231142044
oct112760161000
927866711073
1010062193152
1142a3933710
121b49984540
13c4485475b
146b6512024
153dd59586c
hex257c0e200

10062193152 has 160 divisors (see below), whose sum is σ = 29867802624. Its totient is φ = 2984038400.

The previous prime is 10062193093. The next prime is 10062193171. The reversal of 10062193152 is 25139126001.

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, 787777 + ... + 800447.

Almost surely, 210062193152 is an apocalyptic number.

10062193152 is a gapful number since it is divisible by the number (12) 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 10062193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14933901312).

10062193152 is an abundant number, since it is smaller than the sum of its proper divisors (19805609472).

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

10062193152 is a wasteful number, since it uses less digits than its factorization.

10062193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12750 (or 12734 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 10062193152 in words is "ten billion, sixty-two million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 256 264 282 352 376 384 512 517 528 564 704 752 768 1034 1056 1128 1408 1504 1536 1551 2068 2112 2256 2816 3008 3102 4136 4224 4512 5632 6016 6204 8272 8448 9024 12032 12408 12671 16544 16896 18048 24064 24816 25342 33088 36096 38013 49632 50684 66176 72192 76026 99264 101368 132352 139381 152052 198528 202736 264704 278762 304104 397056 405472 418143 557524 595537 608208 794112 810944 836286 1115048 1191074 1216416 1621888 1672572 1786611 2230096 2382148 2432832 3243776 3345144 3573222 4460192 4764296 4865664 6487552 6550907 6690288 7146444 8920384 9528592 9731328 13101814 13380576 14292888 17840768 19057184 19462656 19652721 26203628 26761152 28585776 35681536 38114368 39305442 52407256 53522304 57171552 71363072 76228736 78610884 104814512 107044608 114343104 152457472 157221768 209629024 214089216 228686208 304914944 314443536 419258048 457372416 628887072 838516096 914744832 1257774144 1677032192 2515548288 3354064384 5031096576 10062193152