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148980974328 = 23341915977577
BaseRepresentation
bin1000101010111111110…
…1010100001011111000
3112020112201222122110000
42022233331110023320
54420103112134303
6152235123153000
713522613246634
oct2125775241370
9466481878400
10148980974328
115820097007a
1224a59515760
13110834104a4
1472d42cddc4
153d1e3e0da3
hex22aff542f8

148980974328 has 160 divisors (see below), whose sum is σ = 439580077200. Its totient is φ = 47010958848.

The previous prime is 148980974327. The next prime is 148980974357. The reversal of 148980974328 is 823479089841.

148980974328 is a `hidden beast` number, since 1 + 489 + 8 + 0 + 97 + 43 + 28 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148980974327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19658476 + ... + 19666052.

Almost surely, 2148980974328 is an apocalyptic number.

148980974328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148980974328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219790038600).

148980974328 is an abundant number, since it is smaller than the sum of its proper divisors (290599102872).

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

148980974328 is a wasteful number, since it uses less digits than its factorization.

148980974328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 148980974328 in words is "one hundred forty-eight billion, nine hundred eighty million, nine hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 1597 2052 3078 3194 4104 4791 6156 6388 7577 9582 12312 12776 14373 15154 19164 22731 28746 30308 30343 38328 43119 45462 57492 60616 60686 68193 86238 90924 91029 114984 121372 129357 136386 143963 172476 181848 182058 204579 242744 258714 272772 273087 287926 344952 364116 409158 431889 517428 545544 546174 575852 613737 728232 818316 819261 863778 1034856 1092348 1151704 1227474 1295667 1636632 1638522 1727556 2184696 2454948 2457783 2591334 3277044 3455112 3887001 4909896 4915566 5182668 6554088 7774002 9831132 10365336 11661003 12100469 15548004 19662264 23322006 24200938 31096008 36301407 46644012 48401876 72602814 93288024 96803752 108904221 145205628 217808442 229908911 290411256 326712663 435616884 459817822 653425326 689726733 871233768 919635644 980137989 1306850652 1379453466 1839271288 1960275978 2069180199 2613701304 2758906932 3920551956 4138360398 5517813864 6207540597 7841103912 8276720796 12415081194 16553441592 18622621791 24830162388 37245243582 49660324776 74490487164 148980974328