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139553050624 = 2121324492
BaseRepresentation
bin1000000111111000000…
…0101001000000000000
3111100012200200111110121
42001332000221000000
54241301040104444
6144035414110024
713040153233621
oct2017600510000
9440180614417
10139553050624
1154203071499
122306804b314
13102100c2a00
146a7c125a48
15396b887084
hex207e029000

139553050624 has 117 divisors (see below), whose sum is σ = 302864952603. Its totient is φ = 64265650176.

The previous prime is 139553050577. The next prime is 139553050633. The reversal of 139553050624 is 426050355931.

The square root of 139553050624 is 373568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10551398400 + 129001652224 = 102720^2 + 359168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310808352 + ... + 310808800.

Almost surely, 2139553050624 is an apocalyptic number.

139553050624 is the 373568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139553050624

139553050624 is an abundant number, since it is smaller than the sum of its proper divisors (163311901979).

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

139553050624 is an frugal number, since it uses more digits than its factorization.

139553050624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 43.

The spelling of 139553050624 in words is "one hundred thirty-nine billion, five hundred fifty-three million, fifty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 449 512 676 832 898 1024 1352 1664 1796 2048 2704 3328 3592 4096 5408 5837 6656 7184 10816 11674 13312 14368 21632 23348 26624 28736 43264 46696 53248 57472 75881 86528 93392 114944 151762 173056 186784 201601 229888 303524 346112 373568 403202 459776 607048 692224 747136 806404 919552 1214096 1494272 1612808 1839104 2428192 2620813 2988544 3225616 4856384 5241626 5977088 6451232 9712768 10483252 11954176 12902464 19425536 20966504 23908352 25804928 34070569 38851072 41933008 51609856 68141138 77702144 83866016 103219712 136282276 155404288 167732032 206439424 272564552 310808576 335464064 412878848 545129104 670928128 825757696 1090258208 1341856256 2180516416 2683712512 4361032832 5367425024 8722065664 10734850048 17444131328 34888262656 69776525312 139553050624