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98119560552 = 233131782722369
BaseRepresentation
bin101101101100001100…
…0011010110101101000
3100101021010021010021020
41123120120122311220
53101422101414202
6113024150412440
710042331334516
oct1333030326550
9311233233236
1098119560552
1138680a30112
1217024061120
139339067290
144a6b4094b6
1528440e25bc
hex16d861ad68

98119560552 has 128 divisors (see below), whose sum is σ = 280058083200. Its totient is φ = 28379086848.

The previous prime is 98119560547. The next prime is 98119560559. The reversal of 98119560552 is 25506591189.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 98119560495 and 98119560504.

It is not an unprimeable number, because it can be changed into a prime (98119560559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4375224 + ... + 4397592.

It is an arithmetic number, because the mean of its divisors is an integer number (2187953775).

Almost surely, 298119560552 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 98119560552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140029041600).

98119560552 is an abundant number, since it is smaller than the sum of its proper divisors (181938522648).

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

98119560552 is a wasteful number, since it uses less digits than its factorization.

98119560552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23235 (or 23231 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 51.

The spelling of 98119560552 in words is "ninety-eight billion, one hundred nineteen million, five hundred sixty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 827 884 1326 1654 1768 2481 2652 3308 4962 5304 6616 9924 10751 14059 19848 21502 22369 28118 32253 42177 43004 44738 56236 64506 67107 84354 86008 89476 112472 129012 134214 168708 178952 182767 258024 268428 290797 337416 365534 380273 536856 548301 581594 731068 760546 872391 1096602 1140819 1163188 1462136 1521092 1744782 2193204 2281638 2326376 3042184 3489564 4386408 4563276 4943549 6979128 9126552 9887098 14830647 18499163 19774196 29661294 36998326 39548392 55497489 59322588 73996652 110994978 118645176 147993304 221989956 240489119 314485771 443979912 480978238 628971542 721467357 943457313 961956476 1257943084 1442934714 1886914626 1923912952 2515886168 2885869428 3773829252 4088315023 5771738856 7547658504 8176630046 12264945069 16353260092 24529890138 32706520184 49059780276 98119560552