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152722017705625 = 54192260172
BaseRepresentation
bin100010101110011001011101…
…100111010101111010011001
3202000202002020000000101011021
4202232121131213111322121
5130004144143013040000
61300451305410202441
744111541653405524
oct4256313547257231
9660662200011137
10152722017705625
11447310535a3875
1215166672883421
13672a816c7b1a4
14299dadc43dbbb
15129c9b443e11a
hex8ae65d9d5e99

152722017705625 has 45 divisors (see below), whose sum is σ = 201422107861227. Its totient is φ = 115742764512000.

The previous prime is 152722017705599. The next prime is 152722017705641. The reversal of 152722017705625 is 526507710227251.

The square root of 152722017705625 is 12358075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 78256439835289 + 74465577870336 = 8846267^2 + 8629344^2 .

It is not a de Polignac number, because 152722017705625 - 29 = 152722017705113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5870072617 + ... + 5870098633.

Almost surely, 2152722017705625 is an apocalyptic number.

152722017705625 is the 12358075-th square number.

152722017705625 is the 6179038-th centered octagonal number.

It is an amenable number.

152722017705625 is a deficient number, since it is larger than the sum of its proper divisors (48700090155602).

152722017705625 is an frugal number, since it uses more digits than its factorization.

152722017705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52092 (or 26041 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 52.

The spelling of 152722017705625 in words is "one hundred fifty-two trillion, seven hundred twenty-two billion, seventeen million, seven hundred five thousand, six hundred twenty-five".

Divisors: 1 5 19 25 95 125 361 475 625 1805 2375 9025 11875 26017 45125 130085 225625 494323 650425 2471615 3252125 9392137 12358075 16260625 46960685 61790375 234803425 308951875 676884289 1174017125 3384421445 5870085625 12860801491 16922107225 64304007455 84610536125 244355228329 321520037275 423052680625 1221776141645 1607600186375 6108880708225 8038000931875 30544403541125 152722017705625