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148537410320 = 24513142824433
BaseRepresentation
bin1000101001010110000…
…1010000001100010000
3112012101211100021000102
42022111201100030100
54413201034112240
6152123120111532
713505616104255
oct2122541201420
9465354307012
10148537410320
1157aa354a952
1224954a655a8
1311012558090
14729142942c
153ce54c4815
hex2295850310

148537410320 has 40 divisors (see below), whose sum is σ = 371914826136. Its totient is φ = 54844581888.

The previous prime is 148537410319. The next prime is 148537410331. The reversal of 148537410320 is 23014735841.

It can be written as a sum of positive squares in 4 ways, for example, as 6764075536 + 141773334784 = 82244^2 + 376528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71411177 + ... + 71413256.

Almost surely, 2148537410320 is an apocalyptic number.

148537410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148537410320 is an abundant number, since it is smaller than the sum of its proper divisors (223377415816).

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

148537410320 is a wasteful number, since it uses less digits than its factorization.

148537410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142824459 (or 142824453 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 148537410320 in words is "one hundred forty-eight billion, five hundred thirty-seven million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 142824433 285648866 571297732 714122165 1142595464 1428244330 1856717629 2285190928 2856488660 3713435258 5712977320 7426870516 9283588145 11425954640 14853741032 18567176290 29707482064 37134352580 74268705160 148537410320