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89730059472 = 2435173133403
BaseRepresentation
bin101001110010001010…
…1000000110011010000
322120121102221022100000
41103210111000303100
52432231343400342
6105115454330000
76324410630634
oct1234425006320
9276542838300
1089730059472
1135066308849
12154824b9900
1385ccc1a561
1444b3110dc4
15250280944c
hex14e4540cd0

89730059472 has 120 divisors (see below), whose sum is σ = 261927548064. Its totient is φ = 29736906624.

The previous prime is 89730059443. The next prime is 89730059501. The reversal of 89730059472 is 27495003798.

89730059472 is a `hidden beast` number, since 8 + 97 + 30 + 0 + 59 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (89730059443) and next prime (89730059501).

It is a super-3 number, since 3×897300594723 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 605923 + ... + 739325.

Almost surely, 289730059472 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 89730059472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130963774032).

89730059472 is an abundant number, since it is smaller than the sum of its proper divisors (172197488592).

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

89730059472 is a wasteful number, since it uses less digits than its factorization.

89730059472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133599 (or 133581 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 89730059472 in words is "eighty-nine billion, seven hundred thirty million, fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 243 324 346 432 486 519 648 692 972 1038 1296 1384 1557 1944 2076 2768 3114 3888 4152 4671 6228 8304 9342 12456 14013 18684 24912 28026 37368 42039 56052 74736 84078 112104 133403 168156 224208 266806 336312 400209 533612 672624 800418 1067224 1200627 1600836 2134448 2401254 3201672 3601881 4802508 6403344 7203762 9605016 10805643 14407524 19210032 21611286 23078719 28815048 32416929 43222572 46157438 57630096 64833858 69236157 86445144 92314876 129667716 138472314 172890288 184629752 207708471 259335432 276944628 369259504 415416942 518670864 553889256 623125413 830833884 1107778512 1246250826 1661667768 1869376239 2492501652 3323335536 3738752478 4985003304 5608128717 7477504956 9970006608 11216257434 14955009912 22432514868 29910019824 44865029736 89730059472