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147677520325696 = 26532286612
BaseRepresentation
bin100001100100111111011010…
…001000111110110001000000
3201100212211111022020010210121
4201210333122020332301000
5123324022030200410241
61242030041040310024
743051230423223624
oct4144773210766100
9640784438203717
10147677520325696
1143066759308159
1214690a86912314
136452c1316761a
1428678b70a3184
1512116704b3ad1
hex864fda23ec40

147677520325696 has 63 divisors (see below), whose sum is σ = 298691525060383. Its totient is φ = 72443048337920.

The previous prime is 147677520325681. The next prime is 147677520325717. The reversal of 147677520325696 is 696523025776741.

The square root of 147677520325696 is 12152264.

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 90038084545600 + 57639435780096 = 9488840^2 + 7592064^2 .

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, 5152545606 + ... + 5152574266.

Almost surely, 2147677520325696 is an apocalyptic number.

147677520325696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147677520325696 is the 12152264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147677520325696

147677520325696 is an abundant number, since it is smaller than the sum of its proper divisors (151014004734687).

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

147677520325696 is an frugal number, since it uses more digits than its factorization.

147677520325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57440 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 70.

The spelling of 147677520325696 in words is "one hundred forty-seven trillion, six hundred seventy-seven billion, five hundred twenty million, three hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 2809 3392 5618 11236 22472 28661 44944 57322 89888 114644 179776 229288 458576 917152 1519033 1834304 3038066 6076132 12152264 24304528 48609056 80508749 97218112 161017498 322034996 644069992 821452921 1288139984 1642905842 2576279968 3285811684 5152559936 6571623368 13143246736 26286493472 43537004813 52572986944 87074009626 174148019252 348296038504 696592077008 1393184154016 2307461255089 2786368308032 4614922510178 9229845020356 18459690040712 36919380081424 73838760162848 147677520325696