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152551410400 = 25521983120919
BaseRepresentation
bin1000111000010011000…
…1011100101011100000
3112120202120101120222001
42032010301130223200
54444411130113100
6154025310053344
714010236410354
oct2160461345340
9476676346861
10152551410400
1159773326594
12256951aa254
131150203bc5c
147552585464
153e7cab2d6a
hex2384c5cae0

152551410400 has 144 divisors (see below), whose sum is σ = 396743356800. Its totient is φ = 57111989760.

The previous prime is 152551410377. The next prime is 152551410413. The reversal of 152551410400 is 4014155251.

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, 1201141 + ... + 1322059.

It is an arithmetic number, because the mean of its divisors is an integer number (2755162200).

Almost surely, 2152551410400 is an apocalyptic number.

152551410400 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 152551410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198371678400).

152551410400 is an abundant number, since it is smaller than the sum of its proper divisors (244191946400).

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

152551410400 is a wasteful number, since it uses less digits than its factorization.

152551410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121041 (or 121028 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

Adding to 152551410400 its reverse (4014155251), we get a palindrome (156565565651).

The spelling of 152551410400 in words is "one hundred fifty-two billion, five hundred fifty-one million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 83 95 100 152 160 166 190 200 304 332 380 400 415 475 608 664 760 800 830 950 1328 1520 1577 1660 1900 2075 2656 3040 3154 3320 3800 4150 6308 6640 7600 7885 8300 12616 13280 15200 15770 16600 25232 31540 33200 39425 50464 63080 66400 78850 120919 126160 157700 241838 252320 315400 483676 604595 630800 967352 1209190 1261600 1934704 2297461 2418380 3022975 3869408 4594922 4836760 6045950 9189844 9673520 10036277 11487305 12091900 18379688 19347040 20072554 22974610 24183800 36759376 40145108 45949220 48367600 50181385 57436525 73518752 80290216 91898440 96735200 100362770 114873050 160580432 183796880 190689263 200725540 229746100 250906925 321160864 367593760 381378526 401451080 459492200 501813850 762757052 802902160 918984400 953446315 1003627700 1525514104 1605804320 1837968800 1906892630 2007255400 3051028208 3813785260 4014510800 4767231575 6102056416 7627570520 8029021600 9534463150 15255141040 19068926300 30510282080 38137852600 76275705200 152551410400