Search a number
-
+
1297475908624 = 247217223932
BaseRepresentation
bin10010111000010111100…
…101110011010000010000
311121001000022211022210101
4102320113211303100100
5132224212313033444
62432015135342144
7162511443153400
oct22702745632020
94531008738711
101297475908624
11460290363a65
1218b562081954
13954751b154c
1446b26266800
1523b3c53b3d4
hex12e17973410

1297475908624 has 135 divisors (see below), whose sum is σ = 3107719733367. Its totient is φ = 523132925952.

The previous prime is 1297475908609. The next prime is 1297475908633. The reversal of 1297475908624 is 4268095747921.

The square root of 1297475908624 is 1139068.

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 148634923024 + 1148840985600 = 385532^2 + 1071840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 542195172 + ... + 542197564.

Almost surely, 21297475908624 is an apocalyptic number.

1297475908624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1297475908624 is the 1139068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297475908624

1297475908624 is an abundant number, since it is smaller than the sum of its proper divisors (1810243824743).

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

1297475908624 is an frugal number, since it uses more digits than its factorization.

1297475908624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 1297475908624 by its sum of digits (64), we get a square (83038458151936 = 91125442).

The spelling of 1297475908624 in words is "one trillion, two hundred ninety-seven billion, four hundred seventy-five million, nine hundred eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 289 392 476 578 784 833 952 1156 1666 1904 2023 2312 2393 3332 4046 4624 4786 6664 8092 9572 13328 14161 16184 16751 19144 28322 32368 33502 38288 40681 56644 67004 81362 113288 117257 134008 162724 226576 234514 268016 284767 325448 469028 569534 650896 691577 938056 1139068 1383154 1876112 1993369 2278136 2766308 3986738 4556272 4841039 5532616 5726449 7973476 9682078 11065232 11452898 15946952 19364156 22905796 31893904 33887273 38728312 40085143 45811592 67774546 77456624 80170286 91623184 97349633 135549092 160340572 194699266 271098184 280596001 320681144 389398532 542196368 561192002 641362288 681447431 778797064 1122384004 1362894862 1557594128 1654943761 2244768008 2725789724 3309887522 4489536016 4770132017 5451579448 6619775044 9540264034 10903158896 11584606327 13239550088 19080528068 23169212654 26479100176 38161056136 46338425308 76322112272 81092244289 92676850616 162184488578 185353701232 324368977156 648737954312 1297475908624