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152672711740 = 225436127110739
BaseRepresentation
bin1000111000110000000…
…0001011010000111100
3112121002000122100010021
42032030000023100330
510000133203233430
6154045322021524
714013241431523
oct2161400132074
9477060570107
10152672711740
115982584702a
12257099478a4
13115212002b3
14756471d4ba
153e8857407a
hex238c00b43c

152672711740 has 96 divisors (see below), whose sum is σ = 334708577280. Its totient is φ = 58449081600.

The previous prime is 152672711729. The next prime is 152672711753. The reversal of 152672711740 is 47117276251.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14211291 + ... + 14222029.

It is an arithmetic number, because the mean of its divisors is an integer number (3486547680).

Almost surely, 2152672711740 is an apocalyptic number.

152672711740 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 152672711740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167354288640).

152672711740 is an abundant number, since it is smaller than the sum of its proper divisors (182035865540).

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

152672711740 is a wasteful number, since it uses less digits than its factorization.

152672711740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11121 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

Adding to 152672711740 its reverse (47117276251), we get a palindrome (199789987991).

The spelling of 152672711740 in words is "one hundred fifty-two billion, six hundred seventy-two million, seven hundred eleven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 271 305 430 542 610 860 1084 1220 1355 2623 2710 5246 5420 10492 10739 11653 13115 16531 21478 23306 26230 33062 42956 46612 52460 53695 58265 66124 82655 107390 116530 165310 214780 233060 330620 461777 655079 710833 923554 1310158 1421666 1847108 2308885 2620316 2843332 2910269 3275395 3554165 4617770 5820538 6550790 7108330 9235540 11641076 13101580 14216660 14551345 28168397 29102690 56336794 58205380 112673588 125141567 140841985 177526409 250283134 281683970 355052818 500566268 563367940 625707835 710105636 887632045 1251415670 1775264090 2502831340 3550528180 7633635587 15267271174 30534542348 38168177935 76336355870 152672711740