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148368523968 = 2632736797749
BaseRepresentation
bin1000101000101101110…
…1000000001011000000
3112011222001112221111100
42022023131000023000
54412324320231333
6152054244214400
713501465434240
oct2121335001300
9464861487440
10148368523968
1157a17189055
122490839a400
1310cb6575922
147276c25b20
153cd5764213
hex228b7402c0

148368523968 has 84 divisors (see below), whose sum is σ = 486024682000. Its totient is φ = 42391005696.

The previous prime is 148368523957. The next prime is 148368523969. The reversal of 148368523968 is 869325863841.

It is a happy number.

148368523968 is a `hidden beast` number, since 1 + 48 + 3 + 6 + 8 + 523 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (148368523969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18394843 + ... + 18402906.

Almost surely, 2148368523968 is an apocalyptic number.

148368523968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148368523968 is an abundant number, since it is smaller than the sum of its proper divisors (337656158032).

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

148368523968 is a wasteful number, since it uses less digits than its factorization.

148368523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36797774 (or 36797761 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 148368523968 in words is "one hundred forty-eight billion, three hundred sixty-eight million, five hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 36797749 73595498 110393247 147190996 220786494 257584243 294381992 331179741 441572988 515168486 588763984 662359482 772752729 883145976 1030336972 1177527968 1324718964 1545505458 1766291952 2060673944 2318258187 2355055936 2649437928 3091010916 3532583904 4121347888 4636516374 5298875856 6182021832 7065167808 8242695776 9273032748 10597751712 12364043664 16485391552 18546065496 21195503424 24728087328 37092130992 49456174656 74184261984 148368523968