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6012402000 = 243531191097
BaseRepresentation
bin1011001100101110…
…11111100101010000
3120112000101200000120
411212113133211100
544303133331000
62432334350240
7301664400543
oct54627374520
916460350016
106012402000
112605931680
1211b965b380
1374a81ba27
1441071a85a
15252c876a0
hex1665df950

6012402000 has 160 divisors (see below), whose sum is σ = 21146396544. Its totient is φ = 1457536000.

The previous prime is 6012401977. The next prime is 6012402059. The reversal of 6012402000 is 2042106.

It is a super-2 number, since 2×60124020002 = 72297955619208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 20452 + ... + 111548.

Almost surely, 26012402000 is an apocalyptic number.

6012402000 is a gapful number since it is divisible by the number (60) 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 6012402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573198272).

6012402000 is an abundant number, since it is smaller than the sum of its proper divisors (15133994544).

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

6012402000 is a wasteful number, since it uses less digits than its factorization.

6012402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91134 (or 91118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6012402000 is about 77539.6801644165. The cubic root of 6012402000 is about 1818.3717272845.

Adding to 6012402000 its reverse (2042106), we get a palindrome (6014444106).

The spelling of 6012402000 in words is "six billion, twelve million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 91097 182194 273291 364388 455485 546582 728776 910970 1002067 1093164 1366455 1457552 1821940 2004134 2186328 2277425 2732910 3006201 3643880 4008268 4372656 4554850 5010335 5465820 6012402 6832275 7287760 8016536 9109700 10020670 10931640 11387125 12024804 13664550 15031005 16033072 18219400 20041340 21863280 22774250 24049608 25051675 27329100 30062010 34161375 36438800 40082680 45548500 48099216 50103350 54658200 60124020 68322750 75155025 80165360 91097000 100206700 109316400 120248040 125258375 136645500 150310050 182194000 200413400 240496080 250516750 273291000 300620100 375775125 400826800 501033500 546582000 601240200 751550250 1002067000 1202480400 1503100500 2004134000 3006201000 6012402000