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6954141420 = 22325297091879
BaseRepresentation
bin1100111100111111…
…11100011011101100
3122221122102222122100
412132133330123230
5103220230011140
63110015215100
7334221140532
oct63637743354
918848388570
106954141420
112a49482416
121420b17490
1386a96a8a5
1449d820152
152aa7ab530
hex19e7fc6ec

6954141420 has 144 divisors (see below), whose sum is σ = 21864024000. Its totient is φ = 1787014656.

The previous prime is 6954141407. The next prime is 6954141427. The reversal of 6954141420 is 241414596.

6954141420 is a `hidden beast` number, since 6 + 95 + 4 + 141 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6954141427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700041 + ... + 3701919.

It is an arithmetic number, because the mean of its divisors is an integer number (151833500).

Almost surely, 26954141420 is an apocalyptic number.

6954141420 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 6954141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932012000).

6954141420 is an abundant number, since it is smaller than the sum of its proper divisors (14909882580).

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

6954141420 is a wasteful number, since it uses less digits than its factorization.

6954141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6954141420 is about 83391.4948900666. The cubic root of 6954141420 is about 1908.7446791910.

The spelling of 6954141420 in words is "six billion, nine hundred fifty-four million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 709 870 1044 1305 1418 1740 1879 2127 2610 2836 3545 3758 4254 5220 5637 6381 7090 7516 8508 9395 10635 11274 12762 14180 16911 18790 20561 21270 22548 25524 28185 31905 33822 37580 41122 42540 54491 56370 61683 63810 67644 82244 84555 102805 108982 112740 123366 127620 163473 169110 185049 205610 217964 246732 272455 308415 326946 338220 370098 411220 490419 544910 616830 653892 740196 817365 925245 980838 1089820 1233660 1332211 1634730 1850490 1961676 2452095 2664422 3269460 3700980 3996633 4904190 5328844 6661055 7993266 9808380 11989899 13322110 15986532 19983165 23979798 26644220 38634119 39966330 47959596 59949495 77268238 79932660 115902357 119898990 154536476 193170595 231804714 239797980 347707071 386341190 463609428 579511785 695414142 772682380 1159023570 1390828284 1738535355 2318047140 3477070710 6954141420