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23098649472 = 27347928201
BaseRepresentation
bin10101100000110010…
…010110101110000000
32012121210011222020000
4111200302112232000
5334301223240342
614340020120000
71445256165243
oct254062265600
965553158200
1023098649472
119883649258
124587836000
13224164c032
141191a4b25a
15902ce944c
hex560c96b80

23098649472 has 160 divisors (see below), whose sum is σ = 69613816800. Its totient is φ = 7601817600.

The previous prime is 23098649471. The next prime is 23098649477. The reversal of 23098649472 is 27494689032.

23098649472 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 86 + 494 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23098649471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 804972 + ... + 833172.

It is an arithmetic number, because the mean of its divisors is an integer number (435086355).

Almost surely, 223098649472 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 23098649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34806908400).

23098649472 is an abundant number, since it is smaller than the sum of its proper divisors (46515167328).

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

23098649472 is an equidigital number, since it uses as much as digits as its factorization.

23098649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28306 (or 28285 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23098649472 in words is "twenty-three billion, ninety-eight million, six hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 288 316 324 384 432 474 576 632 648 711 864 948 1152 1264 1296 1422 1728 1896 2133 2528 2592 2844 3456 3792 4266 5056 5184 5688 6399 7584 8532 10112 10368 11376 12798 15168 17064 22752 25596 28201 30336 34128 45504 51192 56402 68256 84603 91008 102384 112804 136512 169206 204768 225608 253809 273024 338412 409536 451216 507618 676824 761427 819072 902432 1015236 1353648 1522854 1804864 2030472 2227879 2284281 2707296 3045708 3609728 4060944 4455758 4568562 5414592 6091416 6683637 8121888 8911516 9137124 10829184 12182832 13367274 16243776 17823032 18274248 20050911 24365664 26734548 32487552 35646064 36548496 40101822 48731328 53469096 60152733 71292128 73096992 80203644 97462656 106938192 120305466 142584256 146193984 160407288 180458199 213876384 240610932 285168512 292387968 320814576 360916398 427752768 481221864 641629152 721832796 855505536 962443728 1283258304 1443665592 1924887456 2566516608 2887331184 3849774912 5774662368 7699549824 11549324736 23098649472