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154480933672 = 2313471371971171
BaseRepresentation
bin1000111111011111000…
…1111111101100101000
3112202202001010112021221
42033313301333230220
510012334104334142
6154544554311424
714106116161552
oct2176761775450
9482661115257
10154480933672
115a573506a1a
1225b33428574
131174ba0b7c0
1476969364d2
1540421a3767
hex23f7c7fb28

154480933672 has 128 divisors (see below), whose sum is σ = 322799178240. Its totient is φ = 68862044160.

The previous prime is 154480933661. The next prime is 154480933681. The reversal of 154480933672 is 276339084451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131921647 + ... + 131922817.

It is an arithmetic number, because the mean of its divisors is an integer number (2521868580).

It is a 1-persistent number, because it is pandigital, but 2⋅154480933672 = 308961867344 is not.

Almost surely, 2154480933672 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 154480933672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161399589120).

154480933672 is an abundant number, since it is smaller than the sum of its proper divisors (168318244568).

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

154480933672 is a wasteful number, since it uses less digits than its factorization.

154480933672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 154480933672 in words is "one hundred fifty-four billion, four hundred eighty million, nine hundred thirty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 26 47 52 94 104 137 188 197 274 376 394 548 611 788 1096 1171 1222 1576 1781 2342 2444 2561 3562 4684 4888 5122 6439 7124 9259 9368 10244 12878 14248 15223 18518 20488 25756 26989 30446 37036 51512 53978 55037 60892 74072 83707 107956 110074 120367 121784 160427 167414 215912 220148 230687 240734 320854 334828 350857 440296 461374 481468 641708 669656 701714 715481 922748 962936 1268483 1283416 1403428 1430962 1845496 2085551 2536966 2806856 2861924 2998931 4171102 5073932 5723848 5997862 7540069 8342204 10147864 10842289 11995724 15080138 16490279 16684408 21684578 23991448 30160276 31604119 32980558 43369156 60320552 63208238 65961116 86738312 98020897 126416476 131922232 140949757 196041794 252832952 281899514 392083588 410853547 563799028 784167176 821707094 1127598056 1485393593 1643414188 2970787186 3286828376 5941574372 11883148744 19310116709 38620233418 77240466836 154480933672