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89587725040 = 245112331713963
BaseRepresentation
bin101001101101111011…
…0000011001011110000
322120020112002222012101
41103123312003023300
52431433424200130
6105053411510144
76321032045512
oct1233366031360
9276215088171
1089587725040
1134aa2a31890
12154428b8354
1385a95a37b8
14449c25dbb2
1524e50911ca
hex14dbd832f0

89587725040 has 160 divisors (see below), whose sum is σ = 237871489536. Its totient is φ = 31060423680.

The previous prime is 89587724987. The next prime is 89587725041. The reversal of 89587725040 is 4052778598.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89587725041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6409099 + ... + 6423061.

Almost surely, 289587725040 is an apocalyptic number.

89587725040 is a gapful number since it is divisible by the number (80) 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 89587725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118935744768).

89587725040 is an abundant number, since it is smaller than the sum of its proper divisors (148283764496).

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

89587725040 is a wasteful number, since it uses less digits than its factorization.

89587725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14321 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 89587725040 in words is "eighty-nine billion, five hundred eighty-seven million, seven hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 317 368 440 460 506 634 880 920 1012 1265 1268 1585 1840 2024 2530 2536 3170 3487 4048 5060 5072 6340 6974 7291 10120 12680 13948 13963 14582 17435 20240 25360 27896 27926 29164 34870 36455 55792 55852 58328 69740 69815 72910 80201 111704 116656 139480 139630 145820 153593 160402 223408 278960 279260 291640 307186 320804 321149 401005 558520 583280 614372 641608 642298 767965 802010 1117040 1228744 1283216 1284596 1535930 1604020 1605745 2457488 2569192 3071860 3208040 3211490 3532639 4426271 5138384 6143720 6416080 6422980 7065278 8852542 12287440 12845960 14130556 17663195 17705084 22131355 25691920 28261112 35326390 35410168 44262710 48688981 56522224 70652780 70820336 88525420 97377962 101804233 141305560 177050840 194755924 203608466 243444905 282611120 354101680 389511848 407216932 486889810 509021165 779023696 814433864 973779620 1018042330 1119846563 1628867728 1947559240 2036084660 2239693126 3895118480 4072169320 4479386252 5599232815 8144338640 8958772504 11198465630 17917545008 22396931260 44793862520 89587725040