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60470261056 = 2641101401569
BaseRepresentation
bin111000010100010011…
…101111010101000000
312210002021110112122101
4320110103233111000
51442320341323211
643440223320144
74240336511122
oct702423572500
9183067415571
1060470261056
1123710982167
12b877450054
135918ccc07a
142cd9107212
15188db945c1
hexe144ef540

60470261056 has 112 divisors (see below), whose sum is σ = 124667741520. Its totient is φ = 29081600000.

The previous prime is 60470261029. The next prime is 60470261057. The reversal of 60470261056 is 65016207406.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1731891456 + 58738369600 = 41616^2 + 242360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60470261057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106274340 + ... + 106274908.

It is an arithmetic number, because the mean of its divisors is an integer number (1113104835).

Almost surely, 260470261056 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 60470261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62333870760).

60470261056 is an abundant number, since it is smaller than the sum of its proper divisors (64197480464).

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

60470261056 is a wasteful number, since it uses less digits than its factorization.

60470261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 60470261056 in words is "sixty billion, four hundred seventy million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 101 164 202 328 401 404 569 656 802 808 1138 1312 1604 1616 2276 2624 3208 3232 4141 4552 6416 6464 8282 9104 12832 16441 16564 18208 23329 25664 32882 33128 36416 40501 46658 57469 65764 66256 81002 93316 114938 131528 132512 162004 186632 228169 229876 263056 265024 324008 373264 456338 459752 526112 648016 746528 912676 919504 1052224 1296032 1493056 1660541 1825352 1839008 2356229 2592064 3321082 3650704 3678016 4712458 6642164 7301408 9354929 9424916 13284328 14602816 18709858 18849832 23045069 26568656 37419716 37699664 46090138 53137312 74839432 75399328 92180276 106274624 149678864 150798656 184360552 299357728 368721104 598715456 737442208 944847829 1474884416 1889695658 3779391316 7558782632 15117565264 30235130528 60470261056