Search a number
-
+
72335420500 = 2253747439729
BaseRepresentation
bin100001101011110000…
…1101110110001010100
320220201011212002112011
41003113201232301110
52141120331424000
653121435034004
75140352633530
oct1032741566124
9226634762464
1072335420500
112874a506062
1212028b9b904
136a8a241a85
143702c64bc0
151d3567c2ba
hex10d786ec54

72335420500 has 96 divisors (see below), whose sum is σ = 184391101440. Its totient is φ = 24272985600.

The previous prime is 72335420497. The next prime is 72335420503. The reversal of 72335420500 is 502453327.

It is an interprime number because it is at equal distance from previous prime (72335420497) and next prime (72335420503).

It is a super-3 number, since 3×723354205003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72335420503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55365 + ... + 384364.

It is an arithmetic number, because the mean of its divisors is an integer number (1920740640).

Almost surely, 272335420500 is an apocalyptic number.

72335420500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72335420500 is an abundant number, since it is smaller than the sum of its proper divisors (112055680940).

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

72335420500 is a wasteful number, since it uses less digits than its factorization.

72335420500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439802 (or 439790 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 31.

Adding to 72335420500 its reverse (502453327), we get a palindrome (72837873827).

The spelling of 72335420500 in words is "seventy-two billion, three hundred thirty-five million, four hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 125 140 175 188 235 250 329 350 470 500 658 700 875 940 1175 1316 1645 1750 2350 3290 3500 4700 5875 6580 8225 11750 16450 23500 32900 41125 82250 164500 439729 879458 1758916 2198645 3078103 4397290 6156206 8794580 10993225 12312412 15390515 20667263 21986450 30781030 41334526 43972900 54966125 61562060 76952575 82669052 103336315 109932250 144670841 153905150 206672630 219864500 289341682 307810300 384762875 413345260 516681575 578683364 723354205 769525750 1033363150 1446708410 1539051500 2066726300 2583407875 2893416820 3616771025 5166815750 7233542050 10333631500 14467084100 18083855125 36167710250 72335420500