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10692034480 = 2451032335569
BaseRepresentation
bin10011111010100101…
…10111111110110000
31000121010221121222001
421331102313332300
5133344130100410
64524543223344
7525646536121
oct117522677660
930533847861
1010692034480
114597413836
1220a48a7b54
13101519b02a
14736026048
15428a0a33a
hex27d4b7fb0

10692034480 has 80 divisors (see below), whose sum is σ = 25212582720. Its totient is φ = 4216356864.

The previous prime is 10692034469. The next prime is 10692034501. The reversal of 10692034480 is 8443029601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106920344802 (a number of 21 digits) contains 22 as substring.

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, 1917136 + ... + 1922704.

It is an arithmetic number, because the mean of its divisors is an integer number (315157284).

Almost surely, 210692034480 is an apocalyptic number.

10692034480 is a gapful number since it is divisible by the number (10) 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 10692034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606291360).

10692034480 is an abundant number, since it is smaller than the sum of its proper divisors (14520548240).

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

10692034480 is a wasteful number, since it uses less digits than its factorization.

10692034480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 10692034480 in words is "ten billion, six hundred ninety-two million, thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 233 412 466 515 824 932 1030 1165 1648 1864 2060 2330 3728 4120 4660 5569 8240 9320 11138 18640 22276 23999 27845 44552 47998 55690 89104 95996 111380 119995 191992 222760 239990 383984 445520 479980 573607 959960 1147214 1297577 1919920 2294428 2595154 2868035 4588856 5190308 5736070 6487885 9177712 10380616 11472140 12975770 20761232 22944280 25951540 45888560 51903080 103806160 133650431 267300862 534601724 668252155 1069203448 1336504310 2138406896 2673008620 5346017240 10692034480