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148528860168 = 2331312713727361
BaseRepresentation
bin1000101001010100000…
…0101000110000001000
3112012101020020212102010
42022111000220300020
54413141342011133
6152122212535520
713505453323563
oct2122500506010
9465336225363
10148528860168
1157a99740007
12249520215a0
1311010853410
1472902414da
153ce4886263
hex2295028c08

148528860168 has 128 divisors (see below), whose sum is σ = 405990789120. Its totient is φ = 45008732160.

The previous prime is 148528860079. The next prime is 148528860187. The reversal of 148528860168 is 861068825841.

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 31 ways as a sum of consecutive naturals, for example, 5414808 + ... + 5442168.

It is an arithmetic number, because the mean of its divisors is an integer number (3171803040).

Almost surely, 2148528860168 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 148528860168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202995394560).

148528860168 is an abundant number, since it is smaller than the sum of its proper divisors (257461928952).

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

148528860168 is a wasteful number, since it uses less digits than its factorization.

148528860168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27647 (or 27643 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 57.

The spelling of 148528860168 in words is "one hundred forty-eight billion, five hundred twenty-eight million, eight hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 137 156 254 274 312 381 411 508 548 762 822 1016 1096 1524 1644 1651 1781 3048 3288 3302 3562 4953 5343 6604 7124 9906 10686 13208 14248 17399 19812 21372 27361 34798 39624 42744 52197 54722 69596 82083 104394 109444 139192 164166 208788 218888 226187 328332 355693 417576 452374 656664 678561 711386 904748 1067079 1357122 1422772 1809496 2134158 2714244 2845544 3474847 3748457 4268316 5428488 6949694 7496914 8536632 10424541 11245371 13899388 14993828 20849082 22490742 27798776 29987656 41698164 44981484 45173011 48729941 83396328 89962968 90346022 97459882 135519033 146189823 180692044 194919764 271038066 292379646 361384088 389839528 476054039 542076132 584759292 952108078 1084152264 1169518584 1428162117 1904216156 2856324234 3808432312 5712648468 6188702507 11425296936 12377405014 18566107521 24754810028 37132215042 49509620056 74264430084 148528860168