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153311883472 = 241123118132069
BaseRepresentation
bin1000111011001000011…
…0011011000011010000
3112122201120100121220101
42032302012123003100
510002440320232342
6154232553422144
714035132336126
oct2166206330320
9478646317811
10153311883472
115a02361a230
1225867a0a954
13115c3762717
1475c5581916
153ec472d3b7
hex23b219b0d0

153311883472 has 80 divisors (see below), whose sum is σ = 338431374720. Its totient is φ = 66598822400.

The previous prime is 153311883463. The next prime is 153311883493. The reversal of 153311883472 is 274388113351.

It is a super-2 number, since 2×1533118834722 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4764654 + ... + 4796722.

It is an arithmetic number, because the mean of its divisors is an integer number (4230392184).

Almost surely, 2153311883472 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 153311883472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169215687360).

153311883472 is an abundant number, since it is smaller than the sum of its proper divisors (185119491248).

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

153311883472 is a wasteful number, since it uses less digits than its factorization.

153311883472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33292 (or 33286 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 153311883472 in words is "one hundred fifty-three billion, three hundred eleven million, eight hundred eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1181 2024 2362 4048 4724 9448 12991 18896 25982 27163 32069 51964 54326 64138 103928 108652 128276 207856 217304 256552 298793 352759 434608 513104 597586 705518 737587 1195172 1411036 1475174 2390344 2822072 2950348 4780688 5644144 5900696 8113457 11801392 16226914 32453828 37873489 64907656 75746978 129815312 151493956 302987912 416608379 605975824 833216758 871090247 1666433516 1742180494 3332867032 3484360988 6665734064 6968721976 9581992717 13937443952 19163985434 38327970868 76655941736 153311883472