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10798248972 = 22372173134847
BaseRepresentation
bin10100000111010000…
…00011010000001100
31000212112210212212010
422003220003100030
5134103322431342
64543255541220
7531406413300
oct120350032014
930775725763
1010798248972
11464136a305
12211438a810
1310311a9344
14746193d00
15432edb29c
hex283a0340c

10798248972 has 144 divisors (see below), whose sum is σ = 32035627008. Its totient is φ = 2809981440.

The previous prime is 10798248961. The next prime is 10798248983. The reversal of 10798248972 is 27984289701.

It is an interprime number because it is at equal distance from previous prime (10798248961) and next prime (10798248983).

It is a super-2 number, since 2×107982489722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292453 + ... + 327299.

It is an arithmetic number, because the mean of its divisors is an integer number (222469632).

Almost surely, 210798248972 is an apocalyptic number.

10798248972 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 10798248972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017813504).

10798248972 is an abundant number, since it is smaller than the sum of its proper divisors (21237378036).

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

10798248972 is a wasteful number, since it uses less digits than its factorization.

10798248972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34916 (or 34907 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 10798248972 in words is "ten billion, seven hundred ninety-eight million, two hundred forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 49 51 62 68 84 93 98 102 119 124 147 186 196 204 217 238 294 357 372 434 476 527 588 651 714 833 868 1054 1302 1428 1519 1581 1666 2108 2499 2604 3038 3162 3332 3689 4557 4998 6076 6324 7378 9114 9996 11067 14756 18228 22134 25823 34847 44268 51646 69694 77469 103292 104541 139388 154938 209082 243929 309876 418164 487858 592399 731787 975716 1080257 1184798 1463574 1707503 1777197 2160514 2369596 2927148 3240771 3415006 3554394 4146793 4321028 5122509 6481542 6830012 7108788 7561799 8293586 10245018 12440379 12963084 15123598 16587172 18364369 20490036 22685397 24880758 29027551 30247196 36728738 45370794 49761516 52932593 55093107 58055102 73457476 87082653 90741588 105865186 110186214 116110204 128550583 158797779 174165306 211730372 220372428 257101166 317595558 348330612 385651749 514202332 635191116 771303498 899854081 1542606996 1799708162 2699562243 3599416324 5399124486 10798248972