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18742869504 = 29331971359
BaseRepresentation
bin10001011101001010…
…010111111000000000
31210101020000102102000
4101131022113320000
5301341133311004
612335500424000
71232315522262
oct213512277000
953336012360
1018742869504
117a489522a7
123770b48000
1319c90cc638
14c9b363b32
1574a6e7c39
hex45d297e00

18742869504 has 160 divisors (see below), whose sum is σ = 58401024000. Its totient is φ = 5918717952.

The previous prime is 18742869499. The next prime is 18742869511. The reversal of 18742869504 is 40596824781.

It is a happy number.

18742869504 is a `hidden beast` number, since 1 + 8 + 74 + 2 + 8 + 69 + 504 = 666.

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

It is a congruent number.

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, 226977 + ... + 298335.

It is an arithmetic number, because the mean of its divisors is an integer number (365006400).

Almost surely, 218742869504 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 18742869504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29200512000).

18742869504 is an abundant number, since it is smaller than the sum of its proper divisors (39658154496).

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

18742869504 is an equidigital number, since it uses as much as digits as its factorization.

18742869504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71405 (or 71383 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18742869504 in words is "eighteen billion, seven hundred forty-two million, eight hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4104 4608 4864 5472 6912 7296 8208 9728 10944 13824 14592 16416 21888 29184 32832 43776 65664 71359 87552 131328 142718 214077 262656 285436 428154 570872 642231 856308 1141744 1284462 1355821 1712616 1926693 2283488 2568924 2711642 3425232 3853386 4067463 4566976 5137848 5423284 6850464 7706772 8134926 9133952 10275696 10846568 12202389 13700928 15413544 16269852 18267904 20551392 21693136 24404778 27401856 30827088 32539704 36535808 36607167 41102784 43386272 48809556 54803712 61654176 65079408 73214334 82205568 86772544 97619112 109607424 123308352 130158816 146428668 164411136 173545088 195238224 246616704 260317632 292857336 328822272 347090176 390476448 493233408 520635264 585714672 694180352 780952896 986466816 1041270528 1171429344 1561905792 2082541056 2342858688 3123811584 4685717376 6247623168 9371434752 18742869504