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152989881400 = 23527365915901
BaseRepresentation
bin1000111001111011101…
…0000101010000111000
3112121220010110020002201
42032132322011100320
510001310402201100
6154141012035544
714024142351436
oct2163672052070
9477803406081
10152989881400
1159978888314
1225798002bb4
1311571b30155
1475948c1d56
153ea632536a
hex239ee85438

152989881400 has 96 divisors (see below), whose sum is σ = 361143961200. Its totient is φ = 60262272000.

The previous prime is 152989881377. The next prime is 152989881439. The reversal of 152989881400 is 4188989251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9613450 + ... + 9629350.

Almost surely, 2152989881400 is an apocalyptic number.

152989881400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152989881400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180571980600).

152989881400 is an abundant number, since it is smaller than the sum of its proper divisors (208154079800).

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

152989881400 is a wasteful number, since it uses less digits than its factorization.

152989881400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16649 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 55.

The spelling of 152989881400 in words is "one hundred fifty-two billion, nine hundred eighty-nine million, eight hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 659 730 1318 1460 1825 2636 2920 3295 3650 5272 6590 7300 13180 14600 15901 16475 26360 31802 32950 48107 63604 65900 79505 96214 127208 131800 159010 192428 240535 318020 384856 397525 481070 636040 795050 962140 1160773 1202675 1590100 1924280 2321546 2405350 3180200 4643092 4810700 5803865 9286184 9621400 10478759 11607730 20957518 23215460 29019325 41915036 46430920 52393795 58038650 83830072 104787590 116077300 209575180 232154600 261968975 419150360 523937950 764949407 1047875900 1529898814 2095751800 3059797628 3824747035 6119595256 7649494070 15298988140 19123735175 30597976280 38247470350 76494940700 152989881400