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23191400448 = 21232631997
BaseRepresentation
bin10101100110010100…
…001011000000000000
32012212020201012122100
4111212110023000000
5334443444303243
614353132110400
71450463436246
oct254624130000
965766635570
1023191400448
119920a39457
1245b2905400
132257925178
1411a00b2796
1590b01b0d3
hex56650b000

23191400448 has 156 divisors (see below), whose sum is σ = 67162661488. Its totient is φ = 7710474240.

The previous prime is 23191400431. The next prime is 23191400489. The reversal of 23191400448 is 84400419132.

It is a happy number.

23191400448 is a `hidden beast` number, since 23 + 191 + 4 + 0 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 23260686 + ... + 23261682.

Almost surely, 223191400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23191400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33581330744).

23191400448 is an abundant number, since it is smaller than the sum of its proper divisors (43971261040).

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

23191400448 is an equidigital number, since it uses as much as digits as its factorization.

23191400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23191400448 in words is "twenty-three billion, one hundred ninety-one million, four hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 631 768 997 1024 1152 1262 1536 1893 1994 2048 2304 2524 2991 3072 3786 3988 4096 4608 5048 5679 5982 6144 7572 7976 8973 9216 10096 11358 11964 12288 15144 15952 17946 18432 20192 22716 23928 30288 31904 35892 36864 40384 45432 47856 60576 63808 71784 80768 90864 95712 121152 127616 143568 161536 181728 191424 242304 255232 287136 323072 363456 382848 484608 510464 574272 629107 646144 726912 765696 969216 1020928 1148544 1258214 1292288 1453824 1531392 1887321 1938432 2041856 2297088 2516428 2584576 2907648 3062784 3774642 3876864 4083712 4594176 5032856 5661963 5815296 6125568 7549284 7753728 9188352 10065712 11323926 11630592 12251136 15098568 18376704 20131424 22647852 23261184 30197136 36753408 40262848 45295704 60394272 80525696 90591408 120788544 161051392 181182816 241577088 322102784 362365632 483154176 644205568 724731264 966308352 1288411136 1449462528 1932616704 2576822272 2898925056 3865233408 5797850112 7730466816 11595700224 23191400448