Search a number
-
+
73048492656 = 2433477945541
BaseRepresentation
bin100010000001000000…
…1111000101001110000
320222112212121220122000
41010002001320221300
52144100403231111
653320310414000
75164131641226
oct1040201705160
9228485556560
1073048492656
1128a85a73797
12121a7961300
136b71baa169
14376d842b16
151d78082c56
hex1102078a70

73048492656 has 160 divisors (see below), whose sum is σ = 216852787200. Its totient is φ = 23529242880.

The previous prime is 73048492589. The next prime is 73048492667. The reversal of 73048492656 is 65629484037.

73048492656 is a `hidden beast` number, since 73 + 0 + 484 + 92 + 6 + 5 + 6 = 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 31 ways as a sum of consecutive naturals, for example, 1581246 + ... + 1626786.

It is an arithmetic number, because the mean of its divisors is an integer number (1355329920).

Almost surely, 273048492656 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 73048492656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108426393600).

73048492656 is an abundant number, since it is smaller than the sum of its proper divisors (143804294544).

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

73048492656 is a wasteful number, since it uses less digits than its factorization.

73048492656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45684 (or 45672 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 73048492656 in words is "seventy-three billion, forty-eight million, four hundred ninety-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 79 94 108 141 144 158 188 216 237 282 316 376 423 432 474 564 632 711 752 846 948 1128 1264 1269 1422 1692 1896 2133 2256 2538 2844 3384 3713 3792 4266 5076 5688 6768 7426 8532 10152 11139 11376 14852 17064 20304 22278 29704 33417 34128 44556 45541 59408 66834 89112 91082 100251 133668 136623 178224 182164 200502 267336 273246 364328 401004 409869 534672 546492 728656 802008 819738 1092984 1229607 1604016 1639476 2140427 2185968 2459214 3278952 3597739 4280854 4918428 6421281 6557904 7195478 8561708 9836856 10793217 12842562 14390956 17123416 19263843 19673712 21586434 25685124 28781912 32379651 34246832 38527686 43172868 51370248 57563824 57791529 64759302 77055372 86345736 97138953 102740496 115583058 129518604 154110744 169093733 172691472 194277906 231166116 259037208 308221488 338187466 388555812 462332232 507281199 518074416 676374932 777111624 924664464 1014562398 1352749864 1521843597 1554223248 2029124796 2705499728 3043687194 4058249592 4565530791 6087374388 8116499184 9131061582 12174748776 18262123164 24349497552 36524246328 73048492656