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216400375152 = 243213432688337
BaseRepresentation
bin1100100110001001110…
…1111010110101110000
3202200120022111001202100
43021202131322311300
512021141444001102
6243225111020400
721430413560553
oct3114235726560
9680508431670
10216400375152
1183858408855
1235b3406a700
1317539018680
14a68c2b469a
1559681a4a1c
hex326277ad70

216400375152 has 120 divisors (see below), whose sum is σ = 667374531824. Its totient is φ = 65036224512.

The previous prime is 216400375067. The next prime is 216400375159. The reversal of 216400375152 is 251573004612.

216400375152 is a `hidden beast` number, since 2 + 1 + 640 + 0 + 3 + 7 + 5 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216400375159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263673 + ... + 1424664.

Almost surely, 2216400375152 is an apocalyptic number.

It is an amenable number.

216400375152 is an abundant number, since it is smaller than the sum of its proper divisors (450974156672).

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

216400375152 is a wasteful number, since it uses less digits than its factorization.

216400375152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688407 (or 2688398 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 216400375152 its reverse (251573004612), we get a palindrome (467973379764).

The spelling of 216400375152 in words is "two hundred sixteen billion, four hundred million, three hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4472 5031 6192 6708 8944 10062 13416 20124 26832 40248 80496 2688337 5376674 8065011 10753348 16130022 21506696 24195033 32260044 34948381 43013392 48390066 64520088 69896762 96780132 104845143 115598491 129040176 139793524 193560264 209690286 231196982 279587048 314535429 346795473 387120528 419380572 462393964 559174096 629070858 693590946 838761144 924787928 1040386419 1258141716 1387181892 1502780383 1677522288 1849575856 2080772838 2516283432 2774363784 3005560766 4161545676 4508341149 5032566864 5548727568 6011121532 8323091352 9016682298 12022243064 13525023447 16646182704 18033364596 24044486128 27050046894 36066729192 54100093788 72133458384 108200187576 216400375152